202129920 has 240 divisors, whose sum is σ = 725167872. Its totient is φ = 51978240.

The previous prime is 202129901. The next prime is 202129931. The reversal of 202129920 is 29921202.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714099 + ... + 714381.

Almost surely, 2^202129920 is an apocalyptic number.

202129920 is a gapful number since it is divisible by the number (20) 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 202129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362583936).

202129920 is an abundant number, since it is smaller than the sum of its proper divisors (523037952).

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

202129920 is a wasteful number, since it uses less digits than its factorization.

202129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 202129920 is about 14217.2402385273. The cubic root of 202129920 is about 586.8721961235.

The spelling of 202129920 in words is "two hundred two million, one hundred twenty-nine thousand, nine hundred twenty".