137877532416 has 432 divisors, whose sum is σ = 445123940352. Its totient is φ = 40758681600.

The previous prime is 137877532409. The next prime is 137877532469. The reversal of 137877532416 is 614235778731.

137877532416 is a `hidden beast` number, since 1 + 37 + 8 + 77 + 532 + 4 + 1 + 6 = 666.

137877532416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151347001 + ... + 151347911.

Almost surely, 2^137877532416 is an apocalyptic number.

137877532416 is a gapful number since it is divisible by the number (16) 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 137877532416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222561970176).

137877532416 is an abundant number, since it is smaller than the sum of its proper divisors (307246407936).

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

137877532416 is a wasteful number, since it uses less digits than its factorization.

137877532416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1123 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 137877532416 in words is "one hundred thirty-seven billion, eight hundred seventy-seven million, five hundred thirty-two thousand, four hundred sixteen".