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137435370 = 23519923021
BaseRepresentation
bin10000011000100…
…01100011101010
3100120121102212220
420030101203222
5240140412440
621345414510
73256116132
oct1014214352
9316542786
10137435370
1170640256
123a03a436
132261cc07
1414377ac2
15c0eb8d0
hex83118ea

137435370 has 32 divisors (see below), whose sum is σ = 331516800. Its totient is φ = 36463680.

The previous prime is 137435359. The next prime is 137435377. The reversal of 137435370 is 73534731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (137435377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5541 + ... + 17480.

It is an arithmetic number, because the mean of its divisors is an integer number (10359900).

Almost surely, 2137435370 is an apocalyptic number.

137435370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137435370 is an abundant number, since it is smaller than the sum of its proper divisors (194081430).

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

137435370 is a wasteful number, since it uses less digits than its factorization.

137435370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23230.

The product of its (nonzero) digits is 26460, while the sum is 33.

The square root of 137435370 is about 11723.2832431875. The cubic root of 137435370 is about 516.0591768559.

The spelling of 137435370 in words is "one hundred thirty-seven million, four hundred thirty-five thousand, three hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 199 398 597 995 1194 1990 2985 5970 23021 46042 69063 115105 138126 230210 345315 690630 4581179 9162358 13743537 22905895 27487074 45811790 68717685 137435370