15139200 has 192 divisors, whose sum is σ = 53121600. Its totient is φ = 3778560.

The previous prime is 15139177. The next prime is 15139237. The reversal of 15139200 is 293151.

It is a tau number, because it is divible by the number of its divisors (192).

It is a zygodrome in base 2.

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, 182359 + ... + 182441.

It is an arithmetic number, because the mean of its divisors is an integer number (276675).

Almost surely, 2^15139200 is an apocalyptic number.

15139200 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 15139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

15139200 is an abundant number, since it is smaller than the sum of its proper divisors (37982400).

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

15139200 is a wasteful number, since it uses less digits than its factorization.

15139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 15139200 is about 3890.9124893783. The cubic root of 15139200 is about 247.3817412792.

The spelling of 15139200 in words is "fifteen million, one hundred thirty-nine thousand, two hundred".