138439600 has 120 divisors (see below), whose sum is σ = 363796160. Its totient is φ = 50319360.

The previous prime is 138439597. The next prime is 138439603. The reversal of 138439600 is 6934831.

It is an interprime number because it is at equal distance from previous prime (138439597) and next prime (138439603).

It is not an unprimeable number, because it can be changed into a prime (138439603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 410632 + ... + 410968.

Almost surely, 2^138439600 is an apocalyptic number.

138439600 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 138439600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181898080).

138439600 is an abundant number, since it is smaller than the sum of its proper divisors (225356560).

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

138439600 is a wasteful number, since it uses less digits than its factorization.

138439600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 138439600 is about 11766.0358660001. The cubic root of 138439600 is about 517.3130630867.

The spelling of 138439600 in words is "one hundred thirty-eight million, four hundred thirty-nine thousand, six hundred".