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137420292 = 223471671459
BaseRepresentation
bin10000011000011…
…01111000000100
3100120120200012110
420030031320010
5240134422132
621345221020
73256024152
oct1014157004
9316520173
10137420292
117062a999
123a031770
13226160a9
14143723d2
15c0e71cc
hex830de04

137420292 has 48 divisors (see below), whose sum is σ = 329656320. Its totient is φ = 44533152.

The previous prime is 137420281. The next prime is 137420321. The reversal of 137420292 is 292024731.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93459 + ... + 94917.

It is an arithmetic number, because the mean of its divisors is an integer number (6867840).

Almost surely, 2137420292 is an apocalyptic number.

137420292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137420292 is an abundant number, since it is smaller than the sum of its proper divisors (192236028).

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

137420292 is a wasteful number, since it uses less digits than its factorization.

137420292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 137420292 is about 11722.6401463152. The cubic root of 137420292 is about 516.0403039247.

The spelling of 137420292 in words is "one hundred thirty-seven million, four hundred twenty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 12 47 94 141 167 188 282 334 501 564 668 1002 1459 2004 2918 4377 5836 7849 8754 15698 17508 23547 31396 47094 68573 94188 137146 205719 243653 274292 411438 487306 730959 822876 974612 1461918 2923836 11451691 22903382 34355073 45806764 68710146 137420292