152772608000 has 272 divisors, whose sum is σ = 404116010064. Its totient is φ = 57461964800.

The previous prime is 152772607991. The next prime is 152772608041. The reversal of 152772608000 is 806277251.

It can be written as a sum of positive squares in 8 ways, for example, as 44389433344 + 108383174656 = 210688^2 + 329216^2 .

It is a tau number, because it is divible by the number of its divisors (272).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139263452 + ... + 139264548.

Almost surely, 2^152772608000 is an apocalyptic number.

152772608000 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 152772608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202058005032).

152772608000 is an abundant number, since it is smaller than the sum of its proper divisors (251343402064).

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

152772608000 is an frugal number, since it uses more digits than its factorization.

152772608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The spelling of 152772608000 in words is "one hundred fifty-two billion, seven hundred seventy-two million, six hundred eight thousand".