137389536 has 36 divisors (see below), whose sum is σ = 390702312. Its totient is φ = 45796416.

The previous prime is 137389517. The next prime is 137389543. The reversal of 137389536 is 635983731.

137389536 is a `hidden beast` number, since 1 + 37 + 3 + 89 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 137389491 and 137389500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 238236 + ... + 238811.

It is an arithmetic number, because the mean of its divisors is an integer number (10852842).

Almost surely, 2^137389536 is an apocalyptic number.

137389536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137389536 is an abundant number, since it is smaller than the sum of its proper divisors (253312776).

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

137389536 is a wasteful number, since it uses less digits than its factorization.

137389536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477063 (or 477052 counting only the distinct ones).

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

The square root of 137389536 is about 11721.3282523782. The cubic root of 137389536 is about 516.0018027700.

It can be divided in two parts, 1373 and 89536, that added together give a palindrome (90909).

The spelling of 137389536 in words is "one hundred thirty-seven million, three hundred eighty-nine thousand, five hundred thirty-six".