138956880 has 160 divisors (see below), whose sum is σ = 468541440. Its totient is φ = 33937920.

The previous prime is 138956879. The next prime is 138956903. The reversal of 138956880 is 88659831.

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140869 + ... + 141851.

It is an arithmetic number, because the mean of its divisors is an integer number (2928384).

Almost surely, 2^138956880 is an apocalyptic number.

138956880 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 138956880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234270720).

138956880 is an abundant number, since it is smaller than the sum of its proper divisors (329584560).

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

138956880 is a wasteful number, since it uses less digits than its factorization.

138956880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The square root of 138956880 is about 11787.9972853746. The cubic root of 138956880 is about 517.9565762161.

The spelling of 138956880 in words is "one hundred thirty-eight million, nine hundred fifty-six thousand, eight hundred eighty".