132185088 has 176 divisors, whose sum is σ = 448047360. Its totient is φ = 37711872.

The previous prime is 132185087. The next prime is 132185089. The reversal of 132185088 is 880581231.

132185088 is a `hidden beast` number, since 132 + 18 + 508 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (132185087) and next prime (132185089).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132185083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193195 + ... + 193877.

Almost surely, 2^132185088 is an apocalyptic number.

132185088 is a gapful number since it is divisible by the number (18) 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 132185088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224023680).

132185088 is an abundant number, since it is smaller than the sum of its proper divisors (315862272).

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

132185088 is an equidigital number, since it uses as much as digits as its factorization.

132185088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 132185088 is about 11497.1773927343. The cubic root of 132185088 is about 509.4022061472.

The spelling of 132185088 in words is "one hundred thirty-two million, one hundred eighty-five thousand, eighty-eight".