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137355492 = 22397197599
BaseRepresentation
bin10000010111111…
…10000011100100
3100120110101022110
420023332003210
5240130333432
621344001020
73255334221
oct1013760344
9316411273
10137355492
117059623a
123a000170
13225c2751
1414356948
15c0d2dcc
hex82fe0e4

137355492 has 48 divisors (see below), whose sum is σ = 325987200. Its totient is φ = 45007872.

The previous prime is 137355473. The next prime is 137355497. The reversal of 137355492 is 294553731.

It is a happy number.

Its product of digits (113400) is a multiple of the sum of its prime factors (900).

It is a self number, because there is not a number n which added to its sum of digits gives 137355492.

It is not an unprimeable number, because it can be changed into a prime (137355497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229009 + ... + 229607.

It is an arithmetic number, because the mean of its divisors is an integer number (6791400).

Almost surely, 2137355492 is an apocalyptic number.

137355492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137355492 is an abundant number, since it is smaller than the sum of its proper divisors (188631708).

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

137355492 is a wasteful number, since it uses less digits than its factorization.

137355492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 898 counting only the distinct ones).

The product of its digits is 113400, while the sum is 39.

The square root of 137355492 is about 11719.8759379099. The cubic root of 137355492 is about 515.9591789112.

It can be divided in two parts, 1373 and 55492, that added together give a palindrome (56865).

The spelling of 137355492 in words is "one hundred thirty-seven million, three hundred fifty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 97 194 197 291 388 394 582 591 599 788 1164 1182 1198 1797 2364 2396 3594 7188 19109 38218 57327 58103 76436 114654 116206 118003 174309 229308 232412 236006 348618 354009 472012 697236 708018 1416036 11446291 22892582 34338873 45785164 68677746 137355492