152947408320 has 504 divisors, whose sum is σ = 613553548608. Its totient is φ = 34868736000.

The previous prime is 152947408301. The next prime is 152947408331. The reversal of 152947408320 is 23804749251.

152947408320 is a `hidden beast` number, since 1 + 529 + 4 + 7 + 40 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65055145 + ... + 65057495.

It is an arithmetic number, because the mean of its divisors is an integer number (1217368152).

Almost surely, 2^152947408320 is an apocalyptic number.

152947408320 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 152947408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306776774304).

152947408320 is an abundant number, since it is smaller than the sum of its proper divisors (460606140288).

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

152947408320 is a wasteful number, since it uses less digits than its factorization.

152947408320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 152947408320 in words is "one hundred fifty-two billion, nine hundred forty-seven million, four hundred eight thousand, three hundred twenty".