137365536 has 96 divisors (see below), whose sum is σ = 449584128. Its totient is φ = 35677440.

The previous prime is 137365519. The next prime is 137365541. The reversal of 137365536 is 635563731.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137365494 and 137365503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1900 + ... + 16683.

It is an arithmetic number, because the mean of its divisors is an integer number (4683168).

Almost surely, 2^137365536 is an apocalyptic number.

137365536 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 137365536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224792064).

137365536 is an abundant number, since it is smaller than the sum of its proper divisors (312218592).

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

137365536 is a wasteful number, since it uses less digits than its factorization.

137365536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18614 (or 18606 counting only the distinct ones).

The product of its digits is 170100, while the sum is 39.

The square root of 137365536 is about 11720.3044329062. The cubic root of 137365536 is about 515.9717549590.

The spelling of 137365536 in words is "one hundred thirty-seven million, three hundred sixty-five thousand, five hundred thirty-six".