153212900 has 36 divisors (see below), whose sum is σ = 340590180. Its totient is φ = 59788800.

The previous prime is 153212897. The next prime is 153212909. The reversal of 153212900 is 9212351.

153212900 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 6 ways, for example, as 10601536 + 142611364 = 3256^2 + 11942^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153212909) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14585 + ... + 22784.

Almost surely, 2^153212900 is an apocalyptic number.

153212900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153212900 is an abundant number, since it is smaller than the sum of its proper divisors (187377280).

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

153212900 is a wasteful number, since it uses less digits than its factorization.

153212900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37424 (or 37417 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 153212900 is about 12377.9198575528. The cubic root of 153212900 is about 535.0960901152.

The spelling of 153212900 in words is "one hundred fifty-three million, two hundred twelve thousand, nine hundred".