138879000 has 192 divisors, whose sum is σ = 505945440. Its totient is φ = 34156800.

The previous prime is 138878983. The next prime is 138879017. The reversal of 138879000 is 978831.

It is an interprime number because it is at equal distance from previous prime (138878983) and next prime (138879017).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 116407 + ... + 117593.

Almost surely, 2^138879000 is an apocalyptic number.

138879000 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 138879000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252972720).

138879000 is an abundant number, since it is smaller than the sum of its proper divisors (367066440).

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

138879000 is a wasteful number, since it uses less digits than its factorization.

138879000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 138879000 is about 11784.6934622840. The cubic root of 138879000 is about 517.8597932031.

The spelling of 138879000 in words is "one hundred thirty-eight million, eight hundred seventy-nine thousand".