132253540 has 48 divisors (see below), whose sum is σ = 302046192. Its totient is φ = 48439296.

The previous prime is 132253531. The next prime is 132253549. The reversal of 132253540 is 45352231.

132253540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132253531) and next prime (132253549).

It can be written as a sum of positive squares in 8 ways, for example, as 876096 + 131377444 = 936^2 + 11462^2 .

It is not an unprimeable number, because it can be changed into a prime (132253549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7324 + ... + 17836.

It is an arithmetic number, because the mean of its divisors is an integer number (6292629).

Almost surely, 2^132253540 is an apocalyptic number.

132253540 is a gapful number since it is divisible by the number (10) 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 132253540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151023096).

132253540 is an abundant number, since it is smaller than the sum of its proper divisors (169792652).

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

132253540 is a wasteful number, since it uses less digits than its factorization.

132253540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10576 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 132253540 is about 11500.1539120135. The cubic root of 132253540 is about 509.4901222226.

The spelling of 132253540 in words is "one hundred thirty-two million, two hundred fifty-three thousand, five hundred forty".