138189542400 has 1320 divisors, whose sum is σ = 628295371840. Its totient is φ = 29156474880.

The previous prime is 138189542311. The next prime is 138189542417. The reversal of 138189542400 is 4245981831.

138189542400 is a `hidden beast` number, since 13 + 8 + 189 + 54 + 2 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10629964794 + ... + 10629964806.

Almost surely, 2^138189542400 is an apocalyptic number.

138189542400 is a gapful number since it is divisible by the number (10) 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 138189542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314147685920).

138189542400 is an abundant number, since it is smaller than the sum of its proper divisors (490105829440).

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

138189542400 is an frugal number, since it uses more digits than its factorization.

138189542400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 138189542400 in words is "one hundred thirty-eight billion, one hundred eighty-nine million, five hundred forty-two thousand, four hundred".