137813021 has 2 divisors, whose sum is σ = 137813022. Its totient is φ = 137813020.

The previous prime is 137813009. The next prime is 137813057. The reversal of 137813021 is 120318731.

137813021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89510521 + 48302500 = 9461^2 + 6950^2 .

It is a cyclic number.

It is not a de Polignac number, because 137813021 - 2⁶ = 137812957 is a prime.

It is a congruent number.

It is a weakly prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68906510 + 68906511.

It is an arithmetic number, because the mean of its divisors is an integer number (68906511).

Almost surely, 2^137813021 is an apocalyptic number.

It is an amenable number.

137813021 is a deficient number, since it is larger than the sum of its proper divisors (1).

137813021 is an equidigital number, since it uses as much as digits as its factorization.

137813021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 137813021 is about 11739.3790721656. The cubic root of 137813021 is about 516.5314279871.

The spelling of 137813021 in words is "one hundred thirty-seven million, eight hundred thirteen thousand, twenty-one".