132088320 has 600 divisors, whose sum is σ = 592673004. Its totient is φ = 27869184.

The previous prime is 132088273. The next prime is 132088337. The reversal of 132088320 is 23880231.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 9144576 = 11088^2 + 3024^2 .

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

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, 10160634 + ... + 10160646.

Almost surely, 2^132088320 is an apocalyptic number.

132088320 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 132088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296336502).

132088320 is an abundant number, since it is smaller than the sum of its proper divisors (460584684).

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

132088320 is an equidigital number, since it uses as much as digits as its factorization.

132088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132088320 is about 11492.9682849993. The cubic root of 132088320 is about 509.2778707246.

It can be divided in two parts, 13208 and 8320, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 132088320 in words is "one hundred thirty-two million, eighty-eight thousand, three hundred twenty".