202130145 has 108 divisors (see below), whose sum is σ = 425971260. Its totient is φ = 88397568.

The previous prime is 202130101. The next prime is 202130147. The reversal of 202130145 is 541031202.

202130145 = 382² + 383² + ... + 871².

It can be written as a sum of positive squares in 6 ways, for example, as 603729 + 201526416 = 777^2 + 14196^2 .

It is not a de Polignac number, because 202130145 - 2⁶ = 202130081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (202130147) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1854351 + ... + 1854459.

Almost surely, 2^202130145 is an apocalyptic number.

It is an amenable number.

202130145 is an abundant number, since it is smaller than the sum of its proper divisors (223841115).

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

202130145 is a wasteful number, since it uses less digits than its factorization.

202130145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 153 counting only the distinct ones).

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

The square root of 202130145 is about 14217.2481514532. The cubic root of 202130145 is about 586.8724138814.

Adding to 202130145 its reverse (541031202), we get a palindrome (743161347).

The spelling of 202130145 in words is "two hundred two million, one hundred thirty thousand, one hundred forty-five".