15138841600 has 99 divisors (see below), whose sum is σ = 37574856867. Its totient is φ = 6047662080.

The previous prime is 15138841589. The next prime is 15138841631. The reversal of 15138841600 is 614883151.

The square root of 15138841600 is 123040.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 937829376 + 14201012224 = 30624^2 + 119168^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 15138841600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19686016 + ... + 19686784.

Almost surely, 2^15138841600 is an apocalyptic number.

15138841600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15138841600 is the 123040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15138841600

15138841600 is an abundant number, since it is smaller than the sum of its proper divisors (22436015267).

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

15138841600 is an frugal number, since it uses more digits than its factorization.

15138841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 37.

The spelling of 15138841600 in words is "fifteen billion, one hundred thirty-eight million, eight hundred forty-one thousand, six hundred".