137938536 has 24 divisors (see below), whose sum is σ = 373583730. Its totient is φ = 45979488.

The previous prime is 137938523. The next prime is 137938573. The reversal of 137938536 is 635839731.

137938536 is a `hidden beast` number, since 13 + 79 + 38 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 110376036 + 27562500 = 10506^2 + 5250^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 137938491 and 137938500.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 957835 + ... + 957978.

Almost surely, 2^137938536 is an apocalyptic number.

It is an amenable number.

137938536 is an abundant number, since it is smaller than the sum of its proper divisors (235645194).

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

137938536 is a wasteful number, since it uses less digits than its factorization.

137938536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915825 (or 1915818 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 137938536 is about 11744.7237515405. The cubic root of 137938536 is about 516.6881929752.

The spelling of 137938536 in words is "one hundred thirty-seven million, nine hundred thirty-eight thousand, five hundred thirty-six".