153334896400 has 135 divisors (see below), whose sum is σ = 428685185439. Its totient is φ = 52553168640.

The previous prime is 153334896397. The next prime is 153334896401. The reversal of 153334896400 is 4698433351.

The square root of 153334896400 is 391580.

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

153334896400 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 4 ways, for example, as 1771063056 + 151563833344 = 42084^2 + 389312^2 .

It is not an unprimeable number, because it can be changed into a prime (153334896401) 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 26 ways as a sum of consecutive naturals, for example, 54819802 + ... + 54822598.

Almost surely, 2^153334896400 is an apocalyptic number.

153334896400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153334896400 is the 391580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153334896400

153334896400 is an abundant number, since it is smaller than the sum of its proper divisors (275350289039).

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

153334896400 is an frugal number, since it uses more digits than its factorization.

153334896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 153334896400 in words is "one hundred fifty-three billion, three hundred thirty-four million, eight hundred ninety-six thousand, four hundred".