Search a number
-
+
137156058 = 23313474157
BaseRepresentation
bin10000010110011…
…01010111011010
3100120002020202000
420023031113122
5240102443213
621335421430
73253543614
oct1013152732
9316066660
10137156058
117046a416
1239b24876
1322552a40
1414303db4
15c093c73
hex82cd5da

137156058 has 64 divisors (see below), whose sum is σ = 335301120. Its totient is φ = 41294016.

The previous prime is 137156057. The next prime is 137156093. The reversal of 137156058 is 850651731.

137156058 is a `hidden beast` number, since 1 + 37 + 15 + 605 + 8 = 666.

137156058 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137156057) 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, 30916 + ... + 35072.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 2137156058 is an apocalyptic number.

137156058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 137156058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167650560).

137156058 is an abundant number, since it is smaller than the sum of its proper divisors (198145062).

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

137156058 is a wasteful number, since it uses less digits than its factorization.

137156058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4228 (or 4222 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 137156058 is about 11711.3644807085. The cubic root of 137156058 is about 515.7093414431.

The spelling of 137156058 in words is "one hundred thirty-seven million, one hundred fifty-six thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 47 54 78 94 117 141 234 282 351 423 611 702 846 1222 1269 1833 2538 3666 4157 5499 8314 10998 12471 16497 24942 32994 37413 54041 74826 108082 112239 162123 195379 224478 324246 390758 486369 586137 972738 1172274 1459107 1758411 2539927 2918214 3516822 5079854 5275233 7619781 10550466 15239562 22859343 45718686 68578029 137156058