137735021 has 2 divisors, whose sum is σ = 137735022. Its totient is φ = 137735020.

The previous prime is 137734997. The next prime is 137735023. The reversal of 137735021 is 120537731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129640996 + 8094025 = 11386^2 + 2845^2 .

It is a cyclic number.

It is not a de Polignac number, because 137735021 - 2²² = 133540717 is a prime.

Together with 137735023, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137735023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68867510 + 68867511.

It is an arithmetic number, because the mean of its divisors is an integer number (68867511).

Almost surely, 2^137735021 is an apocalyptic number.

It is an amenable number.

137735021 is a deficient number, since it is larger than the sum of its proper divisors (1).

137735021 is an equidigital number, since it uses as much as digits as its factorization.

137735021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 137735021 is about 11736.0564501028. The cubic root of 137735021 is about 516.4339600446.

The spelling of 137735021 in words is "one hundred thirty-seven million, seven hundred thirty-five thousand, twenty-one".