152001904320 has 1344 divisors, whose sum is σ = 652369536000. Its totient is φ = 33652039680.

The previous prime is 152001904309. The next prime is 152001904343. The reversal of 152001904320 is 23409100251.

152001904320 is a `hidden beast` number, since 15 + 200 + 19 + 0 + 432 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×152001904320³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1093538811 + ... + 1093538949.

It is an arithmetic number, because the mean of its divisors is an integer number (485394000).

Almost surely, 2^152001904320 is an apocalyptic number.

152001904320 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 152001904320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326184768000).

152001904320 is an abundant number, since it is smaller than the sum of its proper divisors (500367631680).

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

152001904320 is an equidigital number, since it uses as much as digits as its factorization.

152001904320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 152001904320 in words is "one hundred fifty-two billion, one million, nine hundred four thousand, three hundred twenty".