138177487872 has 220 divisors, whose sum is σ = 430571154816. Its totient is φ = 44055982080.

The previous prime is 138177487853. The next prime is 138177487907. The reversal of 138177487872 is 278784771831.

138177487872 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 77 + 487 + 87 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1871497 + ... + 1943927.

Almost surely, 2^138177487872 is an apocalyptic number.

138177487872 is a gapful number since it is divisible by the number (12) 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 138177487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215285577408).

138177487872 is an abundant number, since it is smaller than the sum of its proper divisors (292393666944).

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

138177487872 is an equidigital number, since it uses as much as digits as its factorization.

138177487872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72486 (or 72459 counting only the distinct ones).

The product of its digits is 29503488, while the sum is 63.

The spelling of 138177487872 in words is "one hundred thirty-eight billion, one hundred seventy-seven million, four hundred eighty-seven thousand, eight hundred seventy-two".