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137291139324 = 223317148350423
BaseRepresentation
bin111111111011100110…
…0001000100011111100
3111010101001111111111000
41333313030020203330
54222133012424244
6143023133330300
712630126300213
oct1776714104374
9433331444430
10137291139324
11532522a6009
1222736636990
13cc3c5c5461
14690597007a
153887edb169
hex1ff73088fc

137291139324 has 96 divisors (see below), whose sum is σ = 377139248640. Its totient is φ = 43041832704.

The previous prime is 137291139281. The next prime is 137291139329. The reversal of 137291139324 is 423931192731.

137291139324 is a `hidden beast` number, since 1 + 3 + 7 + 291 + 1 + 39 + 324 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 137291139324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137291139329) 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, 2697577 + ... + 2747999.

It is an arithmetic number, because the mean of its divisors is an integer number (3928533840).

Almost surely, 2137291139324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137291139324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188569624320).

137291139324 is an abundant number, since it is smaller than the sum of its proper divisors (239848109316).

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

137291139324 is a wasteful number, since it uses less digits than its factorization.

137291139324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51936 (or 51928 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 137291139324 in words is "one hundred thirty-seven billion, two hundred ninety-one million, one hundred thirty-nine thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1483 1836 2966 4449 5932 8898 13347 17796 25211 26694 40041 50422 50423 53388 75633 80082 100844 100846 151266 151269 160164 201692 226899 302532 302538 453798 453807 605076 680697 857191 907596 907614 1361394 1361421 1714382 1815228 2571573 2722788 2722842 3428764 5143146 5445684 7714719 10286292 15429438 23144157 30858876 46288314 74777309 92576628 149554618 224331927 299109236 448663854 672995781 897327708 1271214253 1345991562 2018987343 2542428506 2691983124 3813642759 4037974686 5084857012 7627285518 8075949372 11440928277 15254571036 22881856554 34322784831 45763713108 68645569662 137291139324