137688930 has 32 divisors (see below), whose sum is σ = 367171200. Its totient is φ = 36716976.

The previous prime is 137688917. The next prime is 137688959. The reversal of 137688930 is 39886731.

It is a happy number.

137688930 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 254710 + ... + 255249.

It is an arithmetic number, because the mean of its divisors is an integer number (11474100).

Almost surely, 2^137688930 is an apocalyptic number.

137688930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137688930 is an abundant number, since it is smaller than the sum of its proper divisors (229482270).

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

137688930 is a wasteful number, since it uses less digits than its factorization.

137688930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 509975 (or 509969 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 137688930 is about 11734.0926364163. The cubic root of 137688930 is about 516.3763479401.

The spelling of 137688930 in words is "one hundred thirty-seven million, six hundred eighty-eight thousand, nine hundred thirty".