132787440 has 120 divisors (see below), whose sum is σ = 456421680. Its totient is φ = 34578432.

The previous prime is 132787381. The next prime is 132787451. The reversal of 132787440 is 44787231.

It is a happy number.

132787440 is a `hidden beast` number, since 132 + 7 + 87 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132787395 and 132787404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28816 + ... + 33104.

It is an arithmetic number, because the mean of its divisors is an integer number (3803514).

Almost surely, 2^132787440 is an apocalyptic number.

132787440 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 132787440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228210840).

132787440 is an abundant number, since it is smaller than the sum of its proper divisors (323634240).

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

132787440 is a wasteful number, since it uses less digits than its factorization.

132787440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4342 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 132787440 is about 11523.3432648689. The cubic root of 132787440 is about 510.1747959088.

The spelling of 132787440 in words is "one hundred thirty-two million, seven hundred eighty-seven thousand, four hundred forty".