202153140 has 144 divisors (see below), whose sum is σ = 709607808. Its totient is φ = 45626112.

The previous prime is 202153129. The next prime is 202153153. The reversal of 202153140 is 41351202.

202153140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent 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, 103614 + ... + 105546.

It is an arithmetic number, because the mean of its divisors is an integer number (4927832).

Almost surely, 2^202153140 is an apocalyptic number.

202153140 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 202153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354803904).

202153140 is an abundant number, since it is smaller than the sum of its proper divisors (507454668).

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

202153140 is a wasteful number, since it uses less digits than its factorization.

202153140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2033 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 202153140 is about 14218.0568292576. The cubic root of 202153140 is about 586.8946678925.

The spelling of 202153140 in words is "two hundred two million, one hundred fifty-three thousand, one hundred forty".