137614772530125 has 192 divisors, whose sum is σ = 271428967180800. Its totient is φ = 66524426496000.

The previous prime is 137614772530063. The next prime is 137614772530139. The reversal of 137614772530125 is 521035277416731.

137614772530125 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 14 + 7 + 72 + 530 + 1 + 25 = 666.

It is not a de Polignac number, because 137614772530125 - 2¹⁴ = 137614772513741 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14262071301 + ... + 14262080949.

It is an arithmetic number, because the mean of its divisors is an integer number (1413692537400).

Almost surely, 2^{137614772530125} is an apocalyptic number.

137614772530125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137614772530125 is a deficient number, since it is larger than the sum of its proper divisors (133814194650675).

137614772530125 is a wasteful number, since it uses less digits than its factorization.

137614772530125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12981 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 137614772530125 in words is "one hundred thirty-seven trillion, six hundred fourteen billion, seven hundred seventy-two million, five hundred thirty thousand, one hundred twenty-five".