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134489752800 = 25352134310569
BaseRepresentation
bin111110101000000110…
…1101100010011100000
3110212010211012022121120
41331100031230103200
54200413334042200
6141441142052240
712500532015444
oct1752015542340
9425124168546
10134489752800
1152044a60937
122209441a080
13c8b41010b0
14671b8a8824
1537720ca9a0
hex1f5036c4e0

134489752800 has 144 divisors (see below), whose sum is σ = 471438419760. Its totient is φ = 33105162240.

The previous prime is 134489752783. The next prime is 134489752801. The reversal of 134489752800 is 8257984431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134489752801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2124085 + ... + 2186484.

It is an arithmetic number, because the mean of its divisors is an integer number (3273877915).

Almost surely, 2134489752800 is an apocalyptic number.

134489752800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134489752800 is an abundant number, since it is smaller than the sum of its proper divisors (336948666960).

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

134489752800 is a wasteful number, since it uses less digits than its factorization.

134489752800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310605 (or 4310592 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 134489752800 in words is "one hundred thirty-four billion, four hundred eighty-nine million, seven hundred fifty-two thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 65 75 78 80 96 100 104 120 130 150 156 160 195 200 208 240 260 300 312 325 390 400 416 480 520 600 624 650 780 800 975 1040 1200 1248 1300 1560 1950 2080 2400 2600 3120 3900 5200 6240 7800 10400 15600 31200 4310569 8621138 12931707 17242276 21552845 25863414 34484552 43105690 51726828 56037397 64658535 68969104 86211380 103453656 107764225 112074794 129317070 137938208 168112191 172422760 206907312 215528450 224149588 258634140 280186985 323292675 336224382 344845520 413814624 431056900 448299176 517268280 560373970 646585350 672448764 689691040 840560955 862113800 896598352 1034536560 1120747940 1293170700 1344897528 1400934925 1681121910 1724227600 1793196704 2069073120 2241495880 2586341400 2689795056 2801869850 3362243820 3448455200 4202804775 4482991760 5172682800 5379590112 5603739700 6724487640 8405609550 8965983520 10345365600 11207479400 13448975280 16811219100 22414958800 26897950560 33622438200 44829917600 67244876400 134489752800