15148728000 has 896 divisors, whose sum is σ = 65274992640. Its totient is φ = 3367526400.

The previous prime is 15148727989. The next prime is 15148728013. The reversal of 15148728000 is 82784151.

15148728000 is a `hidden beast` number, since 151 + 487 + 28 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65015884 + ... + 65016116.

Almost surely, 2^15148728000 is an apocalyptic number.

15148728000 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 15148728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32637496320).

15148728000 is an abundant number, since it is smaller than the sum of its proper divisors (50126264640).

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

15148728000 is a wasteful number, since it uses less digits than its factorization.

15148728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 15148728000 in words is "fifteen billion, one hundred forty-eight million, seven hundred twenty-eight thousand".