152278062768000 has 2304 divisors, whose sum is σ = 629619530379840. Its totient is φ = 35053417267200.

The previous prime is 152278062767989. The next prime is 152278062768049. The reversal of 152278062768000 is 867260872251.

152278062768000 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 7 + 8 + 0 + 627 + 6 + 8 + 0 + 0 + 0 = 666.

152278062768000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 93594383187 + ... + 93594384813.

Almost surely, 2^{152278062768000} is an apocalyptic number.

152278062768000 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 152278062768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314809765189920).

152278062768000 is an abundant number, since it is smaller than the sum of its proper divisors (477341467611840).

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

152278062768000 is a wasteful number, since it uses less digits than its factorization.

152278062768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 152278062768000 in words is "one hundred fifty-two trillion, two hundred seventy-eight billion, sixty-two million, seven hundred sixty-eight thousand".