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134452240000 = 275413129281
BaseRepresentation
bin111110100110111111…
…0100101111010000000
3110212001012121110201121
41331031332211322000
54200324233140000
6141433322042024
712466565116621
oct1751576457200
9425035543647
10134452240000
1152025869a21
1222083949314
13c8a93c8680
146716901a48
15376db6ab1a
hex1f4dfa5e80

134452240000 has 160 divisors (see below), whose sum is σ = 360460193940. Its totient is φ = 49643520000.

The previous prime is 134452239983. The next prime is 134452240061. The reversal of 134452240000 is 42254431.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 2694855744 + 131757384256 = 51912^2 + 362984^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 975360 + ... + 1104640.

Almost surely, 2134452240000 is an apocalyptic number.

134452240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134452240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180230096970).

134452240000 is an abundant number, since it is smaller than the sum of its proper divisors (226007953940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

134452240000 is an equidigital number, since it uses as much as digits as its factorization.

134452240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129328 (or 129301 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 134452240000 its reverse (42254431), we get a palindrome (134494494431).

The spelling of 134452240000 in words is "one hundred thirty-four billion, four hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 125 128 130 160 200 208 250 260 320 325 400 416 500 520 625 640 650 800 832 1000 1040 1250 1300 1600 1625 1664 2000 2080 2500 2600 3200 3250 4000 4160 5000 5200 6500 8000 8125 8320 10000 10400 13000 16000 16250 20000 20800 26000 32500 40000 41600 52000 65000 80000 104000 129281 130000 208000 258562 260000 517124 520000 646405 1034248 1040000 1292810 1680653 2068496 2585620 3232025 3361306 4136992 5171240 6464050 6722612 8273984 8403265 10342480 12928100 13445224 16160125 16547968 16806530 20684960 25856200 26890448 32320250 33613060 41369920 42016325 51712400 53780896 64640500 67226120 80800625 82739840 84032650 103424800 107561792 129281000 134452240 161601250 168065300 206849600 210081625 215123584 258562000 268904480 323202500 336130600 413699200 420163250 517124000 537808960 646405000 672261200 840326500 1034248000 1050408125 1075617920 1292810000 1344522400 1680653000 2068496000 2100816250 2585620000 2689044800 3361306000 4201632500 5171240000 5378089600 6722612000 8403265000 10342480000 13445224000 16806530000 26890448000 33613060000 67226120000 134452240000