137021300 has 36 divisors (see below), whose sum is σ = 320211276. Its totient is φ = 50592000.

The previous prime is 137021237. The next prime is 137021321. The reversal of 137021300 is 3120731.

It can be written as a sum of positive squares in 6 ways, for example, as 57668836 + 79352464 = 7594^2 + 8908^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51401 + ... + 54000.

Almost surely, 2^137021300 is an apocalyptic number.

137021300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137021300 is an abundant number, since it is smaller than the sum of its proper divisors (183189976).

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

137021300 is a wasteful number, since it uses less digits than its factorization.

137021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105428 (or 105421 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 137021300 is about 11705.6097662616. The cubic root of 137021300 is about 515.5403885652.

The spelling of 137021300 in words is "one hundred thirty-seven million, twenty-one thousand, three hundred".