137057831 has 2 divisors, whose sum is σ = 137057832. Its totient is φ = 137057830.

The previous prime is 137057821. The next prime is 137057839. The reversal of 137057831 is 138750731.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137057831 - 2¹⁴ = 137041447 is a prime.

It is a super-2 number, since 2×137057831² = 37569698076849122, which contains 22 as substring.

It is equal to p_7755290 and since 137057831 and 7755290 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 137057791 and 137057800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137057839) by changing a digit.

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 as a sum of consecutive naturals, namely, 68528915 + 68528916.

It is an arithmetic number, because the mean of its divisors is an integer number (68528916).

Almost surely, 2^137057831 is an apocalyptic number.

137057831 is a deficient number, since it is larger than the sum of its proper divisors (1).

137057831 is an equidigital number, since it uses as much as digits as its factorization.

137057831 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17640, while the sum is 35.

The square root of 137057831 is about 11707.1700679541. The cubic root of 137057831 is about 515.5862002565.

The spelling of 137057831 in words is "one hundred thirty-seven million, fifty-seven thousand, eight hundred thirty-one".