152945320968192 has 720 divisors, whose sum is σ = 446405885278080. Its totient is φ = 46445667287040.

The previous prime is 152945320968179. The next prime is 152945320968217. The reversal of 152945320968192 is 291869023549251.

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 47 ways as a sum of consecutive naturals, for example, 173211008583 + ... + 173211009465.

Almost surely, 2^{152945320968192} is an apocalyptic number.

152945320968192 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 152945320968192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223202942639040).

152945320968192 is an abundant number, since it is smaller than the sum of its proper divisors (293460564309888).

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

152945320968192 is an equidigital number, since it uses as much as digits as its factorization.

152945320968192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 66.

The spelling of 152945320968192 in words is "one hundred fifty-two trillion, nine hundred forty-five billion, three hundred twenty million, nine hundred sixty-eight thousand, one hundred ninety-two".