15132772512 has 576 divisors, whose sum is σ = 54244270080. Its totient is φ = 4087065600.

The previous prime is 15132772507. The next prime is 15132772553. The reversal of 15132772512 is 21527723151.

15132772512 is a `hidden beast` number, since 1 + 5 + 132 + 7 + 7 + 2 + 512 = 666.

15132772512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 34470789 + ... + 34471227.

It is an arithmetic number, because the mean of its divisors is an integer number (94174080).

Almost surely, 2^15132772512 is an apocalyptic number.

15132772512 is a gapful number since it is divisible by the number (12) 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 15132772512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27122135040).

15132772512 is an abundant number, since it is smaller than the sum of its proper divisors (39111497568).

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

15132772512 is a wasteful number, since it uses less digits than its factorization.

15132772512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 499 counting only the distinct ones).

The product of its digits is 29400, while the sum is 36.

The spelling of 15132772512 in words is "fifteen billion, one hundred thirty-two million, seven hundred seventy-two thousand, five hundred twelve".