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137549106 = 23250915013
BaseRepresentation
bin10000011001011…
…01010100110010
3100120211012220100
420030231110302
5240203032411
621352053230
73260101542
oct1014552462
9316735810
10137549106
1170708752
123a094216
132265c906
14143a7322
15c120456
hex832d532

137549106 has 24 divisors (see below), whose sum is σ = 298628460. Its totient is φ = 45756576.

The previous prime is 137549051. The next prime is 137549123. The reversal of 137549106 is 601945731.

137549106 is a `hidden beast` number, since 1 + 3 + 7 + 549 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 126360081 + 11189025 = 11241^2 + 3345^2 .

It is a super-2 number, since 2×1375491062 = 37839513122798472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1656 + ... + 16668.

Almost surely, 2137549106 is an apocalyptic number.

137549106 is an abundant number, since it is smaller than the sum of its proper divisors (161079354).

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

137549106 is a wasteful number, since it uses less digits than its factorization.

137549106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15530 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 137549106 is about 11728.1330995176. The cubic root of 137549106 is about 516.2014942300.

The spelling of 137549106 in words is "one hundred thirty-seven million, five hundred forty-nine thousand, one hundred six".

Divisors: 1 2 3 6 9 18 509 1018 1527 3054 4581 9162 15013 30026 45039 90078 135117 270234 7641617 15283234 22924851 45849702 68774553 137549106