138839400 has 192 divisors, whose sum is σ = 546691200. Its totient is φ = 31726080.

The previous prime is 138839399. The next prime is 138839401. The reversal of 138839400 is 4938831.

It is an interprime number because it is at equal distance from previous prime (138839399) and next prime (138839401).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (138839401) 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, 35964 + ... + 39636.

It is an arithmetic number, because the mean of its divisors is an integer number (2847350).

Almost surely, 2^138839400 is an apocalyptic number.

138839400 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 138839400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273345600).

138839400 is an abundant number, since it is smaller than the sum of its proper divisors (407851800).

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

138839400 is a wasteful number, since it uses less digits than its factorization.

138839400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3705 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 138839400 is about 11783.0131969713. The cubic root of 138839400 is about 517.8105676248.

The spelling of 138839400 in words is "one hundred thirty-eight million, eight hundred thirty-nine thousand, four hundred".