137513900 has 36 divisors (see below), whose sum is σ = 301777560. Its totient is φ = 54384000.

The previous prime is 137513899. The next prime is 137513903. The reversal of 137513900 is 9315731.

137513900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (137513903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1175 + ... + 16625.

It is an arithmetic number, because the mean of its divisors is an integer number (8382710).

Almost surely, 2^137513900 is an apocalyptic number.

137513900 is a gapful number since it is divisible by the number (10) 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 137513900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150888780).

137513900 is an abundant number, since it is smaller than the sum of its proper divisors (164263660).

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

137513900 is a wasteful number, since it uses less digits than its factorization.

137513900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15554 (or 15547 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 29.

The square root of 137513900 is about 11726.6320825717. The cubic root of 137513900 is about 516.1574494980.

The spelling of 137513900 in words is "one hundred thirty-seven million, five hundred thirteen thousand, nine hundred".