137386315965024 has 144 divisors (see below), whose sum is σ = 452622041438112. Its totient is φ = 38715517569024.

The previous prime is 137386315965001. The next prime is 137386315965083. The reversal of 137386315965024 is 420569513683731.

It is a happy number.

137386315965024 is a `hidden beast` number, since 1 + 3 + 7 + 3 + 8 + 6 + 31 + 5 + 96 + 502 + 4 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466619779 + ... + 466914114.

It is an arithmetic number, because the mean of its divisors is an integer number (3143208621098).

It is a 1-persistent number, because it is pandigital, but 2⋅137386315965024 = 274772631930048 is not.

Almost surely, 2^{137386315965024} is an apocalyptic number.

137386315965024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

137386315965024 is an abundant number, since it is smaller than the sum of its proper divisors (315235725473088).

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

137386315965024 is a wasteful number, since it uses less digits than its factorization.

137386315965024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933533989 (or 933533978 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 137386315965024 in words is "one hundred thirty-seven trillion, three hundred eighty-six billion, three hundred fifteen million, nine hundred sixty-five thousand, twenty-four".