137007936 has 280 divisors, whose sum is σ = 464698080. Its totient is φ = 39564288.

The previous prime is 137007911. The next prime is 137007943. The reversal of 137007936 is 639700731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 137007936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1280395 + ... + 1280501.

It is an arithmetic number, because the mean of its divisors is an integer number (1659636).

Almost surely, 2^137007936 is an apocalyptic number.

137007936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232349040).

137007936 is an abundant number, since it is smaller than the sum of its proper divisors (327690144).

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

137007936 is a wasteful number, since it uses less digits than its factorization.

137007936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 137007936 is about 11705.0389149289. The cubic root of 137007936 is about 515.5236274102.

The spelling of 137007936 in words is "one hundred thirty-seven million, seven thousand, nine hundred thirty-six".