138577630464 has 1440 divisors, whose sum is σ = 553119350784. Its totient is φ = 33502740480.

The previous prime is 138577630453. The next prime is 138577630489. The reversal of 138577630464 is 464036775831.

It is a happy number.

138577630464 is a `hidden beast` number, since 1 + 3 + 8 + 577 + 6 + 3 + 0 + 4 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 138577630464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1345413837 + ... + 1345413939.

Almost surely, 2^138577630464 is an apocalyptic number.

138577630464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138577630464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276559675392).

138577630464 is an abundant number, since it is smaller than the sum of its proper divisors (414541720320).

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

138577630464 is a wasteful number, since it uses less digits than its factorization.

138577630464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 138577630464 in words is "one hundred thirty-eight billion, five hundred seventy-seven million, six hundred thirty thousand, four hundred sixty-four".