138623400 has 240 divisors, whose sum is σ = 495132000. Its totient is φ = 35925120.

The previous prime is 138623371. The next prime is 138623417. The reversal of 138623400 is 4326831.

It is a happy number.

138623400 is a `hidden beast` number, since 1 + 38 + 623 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 696501 + ... + 696699.

It is an arithmetic number, because the mean of its divisors is an integer number (2063050).

Almost surely, 2^138623400 is an apocalyptic number.

138623400 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 138623400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247566000).

138623400 is an abundant number, since it is smaller than the sum of its proper divisors (356508600).

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

138623400 is a wasteful number, since it uses less digits than its factorization.

138623400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 138623400 is about 11773.8438922894. The cubic root of 138623400 is about 517.5418995691.

The spelling of 138623400 in words is "one hundred thirty-eight million, six hundred twenty-three thousand, four hundred".