202153120 has 96 divisors (see below), whose sum is σ = 544673808. Its totient is φ = 70238208.

The previous prime is 202153111. The next prime is 202153129. The reversal of 202153120 is 21351202.

It is an interprime number because it is at equal distance from previous prime (202153111) and next prime (202153129).

It can be written as a sum of positive squares in 8 ways, for example, as 85599504 + 116553616 = 9252^2 + 10796^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 202153094 and 202153103.

It is not an unprimeable number, because it can be changed into a prime (202153129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32502 + ... + 38218.

Almost surely, 2^202153120 is an apocalyptic number.

202153120 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 202153120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272336904).

202153120 is an abundant number, since it is smaller than the sum of its proper divisors (342520688).

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

202153120 is a wasteful number, since it uses less digits than its factorization.

202153120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5762 (or 5754 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 202153120 is about 14218.0561259266. The cubic root of 202153120 is about 586.8946485377.

The spelling of 202153120 in words is "two hundred two million, one hundred fifty-three thousand, one hundred twenty".