132464640 has 360 divisors, whose sum is σ = 537903072. Its totient is φ = 27525120.

The previous prime is 132464623. The next prime is 132464641. The reversal of 132464640 is 46464231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132464598 and 132464607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132464641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12042235 + ... + 12042245.

Almost surely, 2^132464640 is an apocalyptic number.

132464640 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 132464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268951536).

132464640 is an abundant number, since it is smaller than the sum of its proper divisors (405438432).

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

132464640 is an equidigital number, since it uses as much as digits as its factorization.

132464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 132464640 is about 11509.3283904840. The cubic root of 132464640 is about 509.7610568500.

The spelling of 132464640 in words is "one hundred thirty-two million, four hundred sixty-four thousand, six hundred forty".