201525140 has 48 divisors (see below), whose sum is σ = 449526672. Its totient is φ = 75626496.

The previous prime is 201525131. The next prime is 201525161. The reversal of 201525140 is 41525102.

It can be written as a sum of positive squares in 8 ways, for example, as 26915344 + 174609796 = 5188^2 + 13214^2 .

It is a super-2 number, since 2×201525140² = 81224764104039200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134234 + ... + 135726.

It is an arithmetic number, because the mean of its divisors is an integer number (9365139).

Almost surely, 2^201525140 is an apocalyptic number.

201525140 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 201525140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224763336).

201525140 is an abundant number, since it is smaller than the sum of its proper divisors (248001532).

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

201525140 is a wasteful number, since it uses less digits than its factorization.

201525140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 201525140 is about 14195.9550576916. The cubic root of 201525140 is about 586.2862971421.

The spelling of 201525140 in words is "two hundred one million, five hundred twenty-five thousand, one hundred forty".