132420480 has 128 divisors (see below), whose sum is σ = 447029280. Its totient is φ = 33226752.

The previous prime is 132420439. The next prime is 132420517. The reversal of 132420480 is 84024231.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 132420480.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30612 + ... + 34668.

Almost surely, 2^132420480 is an apocalyptic number.

132420480 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 132420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223514640).

132420480 is an abundant number, since it is smaller than the sum of its proper divisors (314608800).

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

132420480 is a wasteful number, since it uses less digits than its factorization.

132420480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4096 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 132420480 is about 11507.4097867418. The cubic root of 132420480 is about 509.7044038689.

The spelling of 132420480 in words is "one hundred thirty-two million, four hundred twenty thousand, four hundred eighty".