15133428324 has 243 divisors, whose sum is σ = 46547686731. Its totient is φ = 4133404800.

The previous prime is 15133428311. The next prime is 15133428337. The reversal of 15133428324 is 42382433151.

The square root of 15133428324 is 123018.

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

15133428324 is a `hidden beast` number, since 1 + 513 + 3 + 42 + 83 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (15133428311) and next prime (15133428337).

It can be written as a sum of positive squares in 4 ways, for example, as 4972788324 + 10160640000 = 70518^2 + 100800^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 149835874 + ... + 149835974.

Almost surely, 2^15133428324 is an apocalyptic number.

15133428324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

15133428324 is the 123018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15133428324

15133428324 is an abundant number, since it is smaller than the sum of its proper divisors (31414258407).

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

15133428324 is a wasteful number, since it uses less digits than its factorization.

15133428324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 142 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Multiplying 15133428324 by its sum of digits (36), we get a square (544803419664 = 738108²).

15133428324 divided by its sum of digits (36) gives a square (420373009 = 20503²).

The spelling of 15133428324 in words is "fifteen billion, one hundred thirty-three million, four hundred twenty-eight thousand, three hundred twenty-four".