152971419312 has 120 divisors (see below), whose sum is σ = 446057648400. Its totient is φ = 48877807104.

The previous prime is 152971419299. The next prime is 152971419313. The reversal of 152971419312 is 213914179251.

152971419312 is a `hidden beast` number, since 1 + 5 + 297 + 1 + 41 + 9 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (152971419313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448698 + ... + 712230.

It is an arithmetic number, because the mean of its divisors is an integer number (3717147070).

Almost surely, 2^152971419312 is an apocalyptic number.

152971419312 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 152971419312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223028824200).

152971419312 is an abundant number, since it is smaller than the sum of its proper divisors (293086229088).

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

152971419312 is a wasteful number, since it uses less digits than its factorization.

152971419312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263715 (or 263706 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The spelling of 152971419312 in words is "one hundred fifty-two billion, nine hundred seventy-one million, four hundred nineteen thousand, three hundred twelve".