132893440 has 72 divisors (see below), whose sum is σ = 325241280. Its totient is φ = 52026368.

The previous prime is 132893401. The next prime is 132893443. The reversal of 132893440 is 44398231.

It is a junction number, because it is equal to n+sod(n) for n = 132893396 and 132893405.

It is not an unprimeable number, because it can be changed into a prime (132893443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2827497 + ... + 2827543.

It is an arithmetic number, because the mean of its divisors is an integer number (4517240).

Almost surely, 2^132893440 is an apocalyptic number.

132893440 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 132893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162620640).

132893440 is an abundant number, since it is smaller than the sum of its proper divisors (192347840).

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

132893440 is an frugal number, since it uses more digits than its factorization.

132893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 132893440 is about 11527.9417070004. The cubic root of 132893440 is about 510.3105119198.

The spelling of 132893440 in words is "one hundred thirty-two million, eight hundred ninety-three thousand, four hundred forty".