138054088800 has 576 divisors, whose sum is σ = 508264968960. Its totient is φ = 36160266240.

The previous prime is 138054088789. The next prime is 138054088817. The reversal of 138054088800 is 8880450831.

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 95 ways as a sum of consecutive naturals, for example, 397850227 + ... + 397850573.

It is an arithmetic number, because the mean of its divisors is an integer number (882404460).

Almost surely, 2^138054088800 is an apocalyptic number.

138054088800 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 138054088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254132484480).

138054088800 is an abundant number, since it is smaller than the sum of its proper divisors (370210880160).

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

138054088800 is a wasteful number, since it uses less digits than its factorization.

138054088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 138054088800 in words is "one hundred thirty-eight billion, fifty-four million, eighty-eight thousand, eight hundred".