15138800 has 30 divisors (see below), whose sum is σ = 36371928. Its totient is φ = 6055360.

The previous prime is 15138793. The next prime is 15138821. The reversal of 15138800 is 883151.

It is a self number, because there is not a number n which added to its sum of digits gives 15138800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18524 + ... + 19323.

Almost surely, 2^15138800 is an apocalyptic number.

15138800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15138800 is an abundant number, since it is smaller than the sum of its proper divisors (21233128).

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

15138800 is a wasteful number, since it uses less digits than its factorization.

15138800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37865 (or 37854 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 15138800 is about 3890.8610872145. The cubic root of 15138800 is about 247.3795625298.

It can be divided in two parts, 15138 and 800, that multiplied together give a square (12110400 = 3480²).

The spelling of 15138800 in words is "fifteen million, one hundred thirty-eight thousand, eight hundred".