152481813641280 has 672 divisors, whose sum is σ = 549032299545600. Its totient is φ = 38769395073024.

The previous prime is 152481813641197. The next prime is 152481813641291. The reversal of 152481813641280 is 82146318184251.

152481813641280 is a `hidden beast` number, since 1 + 5 + 2 + 4 + 8 + 18 + 136 + 412 + 80 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29385584926 + ... + 29385590114.

Almost surely, 2^{152481813641280} is an apocalyptic number.

152481813641280 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 152481813641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274516149772800).

152481813641280 is an abundant number, since it is smaller than the sum of its proper divisors (396550485904320).

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

152481813641280 is a wasteful number, since it uses less digits than its factorization.

152481813641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 152481813641280 in words is "one hundred fifty-two trillion, four hundred eighty-one billion, eight hundred thirteen million, six hundred forty-one thousand, two hundred eighty".