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133151016440 = 235132937238639
BaseRepresentation
bin111110000000001101…
…0110100010111111000
3110201200112010110120102
41330000122310113320
54140143130011230
6141100240214532
712422414652131
oct1740032642770
9421615113512
10133151016440
1151518306452
122198000a448
13c72c9527c0
146631b82c88
1536e47d8045
hex1f006b45f8

133151016440 has 128 divisors (see below), whose sum is σ = 342782496000. Its totient is φ = 46185043968.

The previous prime is 133151016409. The next prime is 133151016443. The reversal of 133151016440 is 44610151331.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133151016443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 438641 + ... + 677279.

It is an arithmetic number, because the mean of its divisors is an integer number (2677988250).

Almost surely, 2133151016440 is an apocalyptic number.

133151016440 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 133151016440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171391248000).

133151016440 is an abundant number, since it is smaller than the sum of its proper divisors (209631479560).

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

133151016440 is a wasteful number, since it uses less digits than its factorization.

133151016440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238729 (or 238725 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 133151016440 its reverse (44610151331), we get a palindrome (177761167771).

The spelling of 133151016440 in words is "one hundred thirty-three billion, one hundred fifty-one million, sixteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 29 37 40 52 58 65 74 104 116 130 145 148 185 232 260 290 296 370 377 481 520 580 740 754 962 1073 1160 1480 1508 1885 1924 2146 2405 3016 3770 3848 4292 4810 5365 7540 8584 9620 10730 13949 15080 19240 21460 27898 42920 55796 69745 111592 139490 238639 278980 477278 557960 954556 1193195 1909112 2386390 3102307 4772780 6204614 6920531 8829643 9545560 12409228 13841062 15511535 17659286 24818456 27682124 31023070 34602655 35318572 44148215 55364248 62046140 69205310 70637144 88296430 89966903 114785359 124092280 138410620 176592860 179933806 229570718 256059647 276821240 353185720 359867612 449834515 459141436 512119294 573926795 719735224 899669030 918282872 1024238588 1147853590 1280298235 1799338060 2048477176 2295707180 2560596470 3328775411 3598676120 4591414360 5121192940 6657550822 10242385880 13315101644 16643877055 26630203288 33287754110 66575508220 133151016440