152912281600 has 405 divisors, whose sum is σ = 419547390087. Its totient is φ = 55258644480.

The previous prime is 152912281573. The next prime is 152912281607. The reversal of 152912281600 is 6182219251.

The square root of 152912281600 is 391040.

It is a perfect power (a square), and thus also a powerful number.

152912281600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 39413366784 + 113498914816 = 198528^2 + 336896^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 152912281600.

It is not an unprimeable number, because it can be changed into a prime (152912281607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3253452777 + ... + 3253452823.

Almost surely, 2^152912281600 is an apocalyptic number.

152912281600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152912281600 is the 391040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152912281600

152912281600 is an abundant number, since it is smaller than the sum of its proper divisors (266635108487).

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

152912281600 is an frugal number, since it uses more digits than its factorization.

152912281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 152912281600 in words is "one hundred fifty-two billion, nine hundred twelve million, two hundred eighty-one thousand, six hundred".