137527870464 has 440 divisors, whose sum is σ = 432467446488. Its totient is φ = 43475927040.

The previous prime is 137527870397. The next prime is 137527870481. The reversal of 137527870464 is 464078725731.

137527870464 is a `hidden beast` number, since 1 + 3 + 7 + 527 + 8 + 70 + 46 + 4 = 666.

137527870464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53084160000 + 84443710464 = 230400^2 + 290592^2 .

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 137527870464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 125825502 + ... + 125826594.

Almost surely, 2^137527870464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137527870464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216233723244).

137527870464 is an abundant number, since it is smaller than the sum of its proper divisors (294939576024).

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

137527870464 is a wasteful number, since it uses less digits than its factorization.

137527870464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 137527870464 in words is "one hundred thirty-seven billion, five hundred twenty-seven million, eight hundred seventy thousand, four hundred sixty-four".