137313136 has 40 divisors (see below), whose sum is σ = 277446528. Its totient is φ = 65760000.

The previous prime is 137313109. The next prime is 137313157. The reversal of 137313136 is 631313731.

137313136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48726 + ... + 51466.

Almost surely, 2^137313136 is an apocalyptic number.

137313136 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 137313136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138723264).

137313136 is an abundant number, since it is smaller than the sum of its proper divisors (140133392).

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

137313136 is a wasteful number, since it uses less digits than its factorization.

137313136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2881 (or 2875 counting only the distinct ones).

The product of its digits is 3402, while the sum is 28.

The square root of 137313136 is about 11718.0687828669. The cubic root of 137313136 is about 515.9061384068.

Adding to 137313136 its reverse (631313731), we get a palindrome (768626867).

The spelling of 137313136 in words is "one hundred thirty-seven million, three hundred thirteen thousand, one hundred thirty-six".