132516240 has 80 divisors (see below), whose sum is σ = 421931328. Its totient is φ = 34380288.

The previous prime is 132516233. The next prime is 132516253. The reversal of 132516240 is 42615231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132516240.

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, 1419 + ... + 16341.

Almost surely, 2^132516240 is an apocalyptic number.

132516240 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 132516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210965664).

132516240 is an abundant number, since it is smaller than the sum of its proper divisors (289415088).

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

132516240 is a wasteful number, since it uses less digits than its factorization.

132516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14976 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 132516240 is about 11511.5698321298. The cubic root of 132516240 is about 509.8272386775.

It can be divided in two parts, 13251 and 6240, that added together give a palindrome (19491).

The spelling of 132516240 in words is "one hundred thirty-two million, five hundred sixteen thousand, two hundred forty".