152131201600 has 315 divisors, whose sum is σ = 438907000137. Its totient is φ = 51897162240.

The previous prime is 152131201597. The next prime is 152131201609. The reversal of 152131201600 is 6102131251.

It is a happy number.

The square root of 152131201600 is 390040.

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

152131201600 is digitally balanced in base 2, 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 only one way, i.e., 54767232576 + 97363969024 = 234024^2 + 312032^2 .

It is a super-3 number, since 3×152131201600³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152131201609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 764478301 + ... + 764478499.

Almost surely, 2^152131201600 is an apocalyptic number.

152131201600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152131201600 is the 390040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152131201600

152131201600 is an abundant number, since it is smaller than the sum of its proper divisors (286775798537).

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

152131201600 is an frugal number, since it uses more digits than its factorization.

152131201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 152131201600 its reverse (6102131251), we get a palindrome (158233332851).

The spelling of 152131201600 in words is "one hundred fifty-two billion, one hundred thirty-one million, two hundred one thousand, six hundred".