138375100 has 72 divisors (see below), whose sum is σ = 321090560. Its totient is φ = 51606720.

The previous prime is 138375089. The next prime is 138375113. The reversal of 138375100 is 1573831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126757 + ... + 127843.

Almost surely, 2^138375100 is an apocalyptic number.

138375100 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 138375100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160545280).

138375100 is an abundant number, since it is smaller than the sum of its proper divisors (182715460).

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

138375100 is a wasteful number, since it uses less digits than its factorization.

138375100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 138375100 is about 11763.2946065292. The cubic root of 138375100 is about 517.2327106542.

The spelling of 138375100 in words is "one hundred thirty-eight million, three hundred seventy-five thousand, one hundred".