138962880 has 336 divisors, whose sum is σ = 560124864. Its totient is φ = 30965760.

The previous prime is 138962869. The next prime is 138962881. The reversal of 138962880 is 88269831.

138962880 is a `hidden beast` number, since 13 + 8 + 9 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138962881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1229704 + ... + 1229816.

Almost surely, 2^138962880 is an apocalyptic number.

138962880 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 138962880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280062432).

138962880 is an abundant number, since it is smaller than the sum of its proper divisors (421161984).

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

138962880 is a wasteful number, since it uses less digits than its factorization.

138962880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 138962880 is about 11788.2517787838. The cubic root of 138962880 is about 517.9640310340.

The spelling of 138962880 in words is "one hundred thirty-eight million, nine hundred sixty-two thousand, eight hundred eighty".