152325017465600 has 864 divisors, whose sum is σ = 460354282106880. Its totient is φ = 48741451038720.

The previous prime is 152325017465591. The next prime is 152325017465701. The reversal of 152325017465600 is 6564710523251.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18412303064 + ... + 18412311336.

Almost surely, 2^{152325017465600} is an apocalyptic number.

152325017465600 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 152325017465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230177141053440).

152325017465600 is an abundant number, since it is smaller than the sum of its proper divisors (308029264641280).

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

152325017465600 is a wasteful number, since it uses less digits than its factorization.

152325017465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8645 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 47.

Adding to 152325017465600 its reverse (6564710523251), we get a palindrome (158889727988851).

The spelling of 152325017465600 in words is "one hundred fifty-two trillion, three hundred twenty-five billion, seventeen million, four hundred sixty-five thousand, six hundred".