132846480 has 400 divisors, whose sum is σ = 529341120. Its totient is φ = 30606336.

The previous prime is 132846451. The next prime is 132846491. The reversal of 132846480 is 84648231.

132846480 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 648 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1600519 + ... + 1600601.

Almost surely, 2^132846480 is an apocalyptic number.

132846480 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 132846480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264670560).

132846480 is an abundant number, since it is smaller than the sum of its proper divisors (396494640).

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

132846480 is a wasteful number, since it uses less digits than its factorization.

132846480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 132846480 is about 11525.9047367224. The cubic root of 132846480 is about 510.2503960734.

The spelling of 132846480 in words is "one hundred thirty-two million, eight hundred forty-six thousand, four hundred eighty".