152209219600 has 45 divisors (see below), whose sum is σ = 365701397277. Its totient is φ = 60880566720.

The previous prime is 152209219573. The next prime is 152209219607. The reversal of 152209219600 is 6912902251.

The square root of 152209219600 is 390140.

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

It can be written as a sum of positive squares in only one way, i.e., 54795319056 + 97413900544 = 234084^2 + 312112^2 .

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 152209219600.

It is not an unprimeable number, because it can be changed into a prime (152209219607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7793047 + ... + 7812553.

Almost surely, 2^152209219600 is an apocalyptic number.

152209219600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152209219600 is the 390140-th square number.

It is an amenable number.

152209219600 is an abundant number, since it is smaller than the sum of its proper divisors (213492177677).

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

152209219600 is an frugal number, since it uses more digits than its factorization.

152209219600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39032 (or 19514 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The spelling of 152209219600 in words is "one hundred fifty-two billion, two hundred nine million, two hundred nineteen thousand, six hundred".