137953901 has 2 divisors, whose sum is σ = 137953902. Its totient is φ = 137953900.

The previous prime is 137953843. The next prime is 137953913. The reversal of 137953901 is 109359731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109704676 + 28249225 = 10474^2 + 5315^2 .

It is a cyclic number.

It is not a de Polignac number, because 137953901 - 2²² = 133759597 is a prime.

It is a super-2 number, since 2×137953901² = 38062557602235602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137953961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68976950 + 68976951.

It is an arithmetic number, because the mean of its divisors is an integer number (68976951).

Almost surely, 2^137953901 is an apocalyptic number.

It is an amenable number.

137953901 is a deficient number, since it is larger than the sum of its proper divisors (1).

137953901 is an equidigital number, since it uses as much as digits as its factorization.

137953901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 38.

The square root of 137953901 is about 11745.3778568422. The cubic root of 137953901 is about 516.7073769286.

The spelling of 137953901 in words is "one hundred thirty-seven million, nine hundred fifty-three thousand, nine hundred one".