137631629375136 has 144 divisors (see below), whose sum is σ = 425436089236704. Its totient is φ = 41952416020992.

The previous prime is 137631629375083. The next prime is 137631629375137. The reversal of 137631629375136 is 631573926136731.

137631629375136 is a `hidden beast` number, since 1 + 3 + 7 + 63 + 1 + 6 + 29 + 37 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (137631629375137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171377826 + ... + 172179041.

It is an arithmetic number, because the mean of its divisors is an integer number (2954417286366).

Almost surely, 2^{137631629375136} is an apocalyptic number.

137631629375136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137631629375136 is an abundant number, since it is smaller than the sum of its proper divisors (287804459861568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137631629375136 is a wasteful number, since it uses less digits than its factorization.

137631629375136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343557003 (or 343556992 counting only the distinct ones).

The product of its digits is 77157360, while the sum is 63.

The spelling of 137631629375136 in words is "one hundred thirty-seven trillion, six hundred thirty-one billion, six hundred twenty-nine million, three hundred seventy-five thousand, one hundred thirty-six".