137537135335125 has 80 divisors (see below), whose sum is σ = 256854367618992. Its totient is φ = 73226007244800.

The previous prime is 137537135335097. The next prime is 137537135335139. The reversal of 137537135335125 is 521533531735731.

137537135335125 is a `hidden beast` number, since 1 + 3 + 7 + 5 + 3 + 71 + 3 + 53 + 3 + 512 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 6967731005316 + 130569404329809 = 2639646^2 + 11426697^2 .

It is not a de Polignac number, because 137537135335125 - 2¹¹ = 137537135333077 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5929032 + ... + 17613281.

Almost surely, 2^{137537135335125} is an apocalyptic number.

137537135335125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137537135335125 is a deficient number, since it is larger than the sum of its proper divisors (119317232283867).

137537135335125 is an equidigital number, since it uses as much as digits as its factorization.

137537135335125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23542917 (or 23542898 counting only the distinct ones).

The product of its digits is 14883750, while the sum is 54.

The spelling of 137537135335125 in words is "one hundred thirty-seven trillion, five hundred thirty-seven billion, one hundred thirty-five million, three hundred thirty-five thousand, one hundred twenty-five".