152024304000 has 256 divisors, whose sum is σ = 504596252160. Its totient is φ = 40488704000.

The previous prime is 152024303987. The next prime is 152024304037. The reversal of 152024304000 is 403420251.

It is a super-2 number, since 2×152024304000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52366549 + ... + 52369451.

It is an arithmetic number, because the mean of its divisors is an integer number (1971079110).

Almost surely, 2^152024304000 is an apocalyptic number.

152024304000 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 152024304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252298126080).

152024304000 is an abundant number, since it is smaller than the sum of its proper divisors (352571948160).

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

152024304000 is a wasteful number, since it uses less digits than its factorization.

152024304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4004 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

Adding to 152024304000 its reverse (403420251), we get a palindrome (152427724251).

The spelling of 152024304000 in words is "one hundred fifty-two billion, twenty-four million, three hundred four thousand".