152162406400 has 351 divisors, whose sum is σ = 402017630119. Its totient is φ = 57120194560.

The previous prime is 152162406371. The next prime is 152162406421. The reversal of 152162406400 is 4604261251.

It is a happy number.

The square root of 152162406400 is 390080.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1146228736 + 151016177664 = 33856^2 + 388608^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2870988774 + ... + 2870988826.

Almost surely, 2^152162406400 is an apocalyptic number.

152162406400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

152162406400 is the 390080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152162406400

152162406400 is an abundant number, since it is smaller than the sum of its proper divisors (249855223719).

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

152162406400 is an frugal number, since it uses more digits than its factorization.

152162406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 152162406400 its reverse (4604261251), we get a palindrome (156766667651).

The spelling of 152162406400 in words is "one hundred fifty-two billion, one hundred sixty-two million, four hundred six thousand, four hundred".