138375600 has 180 divisors, whose sum is σ = 487734408. Its totient is φ = 33510400.

The previous prime is 138375571. The next prime is 138375623. The reversal of 138375600 is 6573831.

It is a happy number.

138375600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144724 + ... + 145676.

Almost surely, 2^138375600 is an apocalyptic number.

138375600 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 138375600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243867204).

138375600 is an abundant number, since it is smaller than the sum of its proper divisors (349358808).

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

138375600 is a wasteful number, since it uses less digits than its factorization.

138375600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 996 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 138375600 is about 11763.3158590595. The cubic root of 138375600 is about 517.2333336373.

The spelling of 138375600 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, six hundred".