137137146138901 has 2 divisors, whose sum is σ = 137137146138902. Its totient is φ = 137137146138900.

The previous prime is 137137146138841. The next prime is 137137146138943. The reversal of 137137146138901 is 109831641731731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121154621364676 + 15982524774225 = 11007026^2 + 3997815^2 .

It is a cyclic number.

It is not a de Polignac number, because 137137146138901 - 2³¹ = 137134998655253 is a prime.

It is a super-2 number, since 2×137137146138901² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137137146138961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68568573069450 + 68568573069451.

It is an arithmetic number, because the mean of its divisors is an integer number (68568573069451).

Almost surely, 2^{137137146138901} is an apocalyptic number.

It is an amenable number.

137137146138901 is a deficient number, since it is larger than the sum of its proper divisors (1).

137137146138901 is an equidigital number, since it uses as much as digits as its factorization.

137137146138901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 137137146138901 in words is "one hundred thirty-seven trillion, one hundred thirty-seven billion, one hundred forty-six million, one hundred thirty-eight thousand, nine hundred one".