153312900 has 144 divisors (see below), whose sum is σ = 503092800. Its totient is φ = 35735040.

The previous prime is 153312889. The next prime is 153312923. The reversal of 153312900 is 9213351.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73066 + ... + 75134.

It is an arithmetic number, because the mean of its divisors is an integer number (3493700).

Almost surely, 2^153312900 is an apocalyptic number.

153312900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153312900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251546400).

153312900 is an abundant number, since it is smaller than the sum of its proper divisors (349779900).

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

153312900 is a wasteful number, since it uses less digits than its factorization.

153312900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2118 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 153312900 is about 12381.9586495837. The cubic root of 153312900 is about 535.2124814712.

The spelling of 153312900 in words is "one hundred fifty-three million, three hundred twelve thousand, nine hundred".