138707966880 has 288 divisors, whose sum is σ = 546541841664. Its totient is φ = 31377604608.

The previous prime is 138707966879. The next prime is 138707966911. The reversal of 138707966880 is 88669707831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 906829 + ... + 1048691.

It is an arithmetic number, because the mean of its divisors is an integer number (1897714728).

Almost surely, 2^138707966880 is an apocalyptic number.

138707966880 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 138707966880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273270920832).

138707966880 is an abundant number, since it is smaller than the sum of its proper divisors (407833874784).

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

138707966880 is a wasteful number, since it uses less digits than its factorization.

138707966880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141988 (or 141977 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 138707966880 in words is "one hundred thirty-eight billion, seven hundred seven million, nine hundred sixty-six thousand, eight hundred eighty".