137531300 has 18 divisors (see below), whose sum is σ = 298443138. Its totient is φ = 55012480.

The previous prime is 137531299. The next prime is 137531327. The reversal of 137531300 is 3135731.

It is a happy number.

137531300 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5189284 + 132342016 = 2278^2 + 11504^2 .

137531300 is strictly pandigital in base 9.

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, 687557 + ... + 687756.

Almost surely, 2^137531300 is an apocalyptic number.

137531300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137531300 is an abundant number, since it is smaller than the sum of its proper divisors (160911838).

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

137531300 is a wasteful number, since it uses less digits than its factorization.

137531300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375327 (or 1375320 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 23.

The square root of 137531300 is about 11727.3739600987. The cubic root of 137531300 is about 516.1792188388.

The spelling of 137531300 in words is "one hundred thirty-seven million, five hundred thirty-one thousand, three hundred".