15153610000 has 75 divisors (see below), whose sum is σ = 36718233123. Its totient is φ = 6056520000.

The previous prime is 15153609997. The next prime is 15153610039. The reversal of 15153610000 is 1635151.

The square root of 15153610000 is 123100.

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

15153610000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1188043024 + 13965566976 = 34468^2 + 118176^2 .

It is a Duffinian 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 14 ways as a sum of consecutive naturals, for example, 12309385 + ... + 12310615.

Almost surely, 2^15153610000 is an apocalyptic number.

15153610000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15153610000 is the 123100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15153610000

15153610000 is an abundant number, since it is smaller than the sum of its proper divisors (21564623123).

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

15153610000 is an frugal number, since it uses more digits than its factorization.

15153610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2490 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

The spelling of 15153610000 in words is "fifteen billion, one hundred fifty-three million, six hundred ten thousand".