132616440 has 240 divisors, whose sum is σ = 494362440. Its totient is φ = 31622400.

The previous prime is 132616403. The next prime is 132616493. The reversal of 132616440 is 44616231.

132616440 is a `hidden beast` number, since 1 + 3 + 2 + 616 + 4 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2174010 + ... + 2174070.

Almost surely, 2^132616440 is an apocalyptic number.

132616440 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 132616440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247181220).

132616440 is an abundant number, since it is smaller than the sum of its proper divisors (361746000).

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

132616440 is a wasteful number, since it uses less digits than its factorization.

132616440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 82 counting only the distinct ones).

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

The square root of 132616440 is about 11515.9211529083. The cubic root of 132616440 is about 509.9557054956.

It can be divided in two parts, 13261 and 6440, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 132616440 in words is "one hundred thirty-two million, six hundred sixteen thousand, four hundred forty".