132705240 has 64 divisors (see below), whose sum is σ = 403596000. Its totient is φ = 34900992.

The previous prime is 132705197. The next prime is 132705241. The reversal of 132705240 is 42507231.

It is a super-2 number, since 2×132705240² = 35221361446915200, which contains 22 as substring.

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 132705240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132705241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186 + ... + 16334.

Almost surely, 2^132705240 is an apocalyptic number.

132705240 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 132705240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201798000).

132705240 is an abundant number, since it is smaller than the sum of its proper divisors (270890760).

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

132705240 is a wasteful number, since it uses less digits than its factorization.

132705240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15236 (or 15232 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 132705240 is about 11519.7760394897. The cubic root of 132705240 is about 510.0695022541.

The spelling of 132705240 in words is "one hundred thirty-two million, seven hundred five thousand, two hundred forty".