137964466415328 has 192 divisors, whose sum is σ = 446781481896960. Its totient is φ = 36404416806912.

The previous prime is 137964466415257. The next prime is 137964466415353. The reversal of 137964466415328 is 823514664469731.

137964466415328 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153453025 + ... + 154349472.

It is an arithmetic number, because the mean of its divisors is an integer number (2326986884880).

Almost surely, 2^{137964466415328} is an apocalyptic number.

It is an amenable number.

137964466415328 is an abundant number, since it is smaller than the sum of its proper divisors (308817015481632).

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

137964466415328 is a wasteful number, since it uses less digits than its factorization.

137964466415328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307802569 (or 307802561 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 69.

The spelling of 137964466415328 in words is "one hundred thirty-seven trillion, nine hundred sixty-four billion, four hundred sixty-six million, four hundred fifteen thousand, three hundred twenty-eight".