138096900480 has 1024 divisors, whose sum is σ = 582913843200. Its totient is φ = 26940211200.

The previous prime is 138096900467. The next prime is 138096900497. The reversal of 138096900480 is 84009690831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 592690444 + ... + 592690676.

It is an arithmetic number, because the mean of its divisors is an integer number (569251800).

Almost surely, 2^138096900480 is an apocalyptic number.

138096900480 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 138096900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291456921600).

138096900480 is an abundant number, since it is smaller than the sum of its proper divisors (444816942720).

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

138096900480 is a wasteful number, since it uses less digits than its factorization.

138096900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 138096900480 in words is "one hundred thirty-eight billion, ninety-six million, nine hundred thousand, four hundred eighty".