15138900 has 216 divisors, whose sum is σ = 56871360. Its totient is φ = 3421440.

The previous prime is 15138863. The next prime is 15138913. The reversal of 15138900 is 983151.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 170056 + ... + 170144.

Almost surely, 2^15138900 is an apocalyptic number.

15138900 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 15138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28435680).

15138900 is an abundant number, since it is smaller than the sum of its proper divisors (41732460).

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

15138900 is a wasteful number, since it uses less digits than its factorization.

15138900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 15138900 is about 3890.8739378191. The cubic root of 15138900 is about 247.3801072207.

The spelling of 15138900 in words is "fifteen million, one hundred thirty-eight thousand, nine hundred".