132292440 has 320 divisors, whose sum is σ = 536659200. Its totient is φ = 28553472.

The previous prime is 132292423. The next prime is 132292441. The reversal of 132292440 is 44292231.

132292440 is a `hidden beast` number, since 132 + 2 + 92 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132292441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430767 + ... + 431073.

It is an arithmetic number, because the mean of its divisors is an integer number (1677060).

Almost surely, 2^132292440 is an apocalyptic number.

132292440 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 132292440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268329600).

132292440 is an abundant number, since it is smaller than the sum of its proper divisors (404366760).

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

132292440 is a wasteful number, since it uses less digits than its factorization.

132292440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132292440 is about 11501.8450693791. The cubic root of 132292440 is about 509.5400697777.

The spelling of 132292440 in words is "one hundred thirty-two million, two hundred ninety-two thousand, four hundred forty".