138892432000 has 256 divisors, whose sum is σ = 415430496000. Its totient is φ = 45113241600.

The previous prime is 138892431989. The next prime is 138892432009. The reversal of 138892432000 is 234298831.

It is a super-2 number, since 2×138892432000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (138892432009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2095366 + ... + 2160634.

It is an arithmetic number, because the mean of its divisors is an integer number (1622775375).

Almost surely, 2^138892432000 is an apocalyptic number.

138892432000 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 138892432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207715248000).

138892432000 is an abundant number, since it is smaller than the sum of its proper divisors (276538064000).

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

138892432000 is an equidigital number, since it uses as much as digits as its factorization.

138892432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65324 (or 65302 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 138892432000 in words is "one hundred thirty-eight billion, eight hundred ninety-two million, four hundred thirty-two thousand".