152996171328 has 1792 divisors, whose sum is σ = 659702292480. Its totient is φ = 33721712640.

The previous prime is 152996171323. The next prime is 152996171333. The reversal of 152996171328 is 823171699251.

It is a happy number.

152996171328 is a `hidden beast` number, since 1 + 5 + 2 + 9 + 9 + 617 + 13 + 2 + 8 = 666.

152996171328 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (152996171323) and next prime (152996171333).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1632960) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (152996171323) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3558050475 + ... + 3558050517.

It is an arithmetic number, because the mean of its divisors is an integer number (368137440).

Almost surely, 2^152996171328 is an apocalyptic number.

152996171328 is a gapful number since it is divisible by the number (18) 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 152996171328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329851146240).

152996171328 is an abundant number, since it is smaller than the sum of its proper divisors (506706121152).

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

152996171328 is a wasteful number, since it uses less digits than its factorization.

152996171328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 96 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The spelling of 152996171328 in words is "one hundred fifty-two billion, nine hundred ninety-six million, one hundred seventy-one thousand, three hundred twenty-eight".