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137492685 = 325111716339
BaseRepresentation
bin10000011000111…
…11100011001101
3100120201100111200
420030133203031
5240144231220
621350540113
73256445211
oct1014374315
9316640450
10137492685
117067a320
123a067639
1322640025
1414390941
15c10d890
hex831f8cd

137492685 has 48 divisors (see below), whose sum is σ = 275296320. Its totient is φ = 62737920.

The previous prime is 137492671. The next prime is 137492699. The reversal of 137492685 is 586294731.

137492685 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (137492671) and next prime (137492699).

It is not a de Polignac number, because 137492685 - 28 = 137492429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 137492685.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246 + ... + 16584.

It is an arithmetic number, because the mean of its divisors is an integer number (5735340).

Almost surely, 2137492685 is an apocalyptic number.

137492685 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137492685 is an abundant number, since it is smaller than the sum of its proper divisors (137803635).

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

137492685 is a wasteful number, since it uses less digits than its factorization.

137492685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16378 (or 16375 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 137492685 is about 11725.7274827620. The cubic root of 137492685 is about 516.1309046822.

The spelling of 137492685 in words is "one hundred thirty-seven million, four hundred ninety-two thousand, six hundred eighty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 495 561 765 935 1683 2805 8415 16339 49017 81695 147051 179729 245085 277763 539187 735255 833289 898645 1388815 1617561 2499867 2695935 3055393 4166445 8087805 9166179 12499335 15276965 27498537 45830895 137492685