138353354880 has 768 divisors, whose sum is σ = 533399126400. Its totient is φ = 30134108160.

The previous prime is 138353354869. The next prime is 138353354917. The reversal of 138353354880 is 88453353831.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 1056132415 + ... + 1056132545.

Almost surely, 2^138353354880 is an apocalyptic number.

138353354880 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 138353354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266699563200).

138353354880 is an abundant number, since it is smaller than the sum of its proper divisors (395045771520).

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

138353354880 is a wasteful number, since it uses less digits than its factorization.

138353354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 138353354880 in words is "one hundred thirty-eight billion, three hundred fifty-three million, three hundred fifty-four thousand, eight hundred eighty".