132006888 has 128 divisors (see below), whose sum is σ = 402796800. Its totient is φ = 39806208.

The previous prime is 132006883. The next prime is 132006893. The reversal of 132006888 is 888600231.

It is an interprime number because it is at equal distance from previous prime (132006883) and next prime (132006893).

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

It is not an unprimeable number, because it can be changed into a prime (132006881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148381 + ... + 149267.

It is an arithmetic number, because the mean of its divisors is an integer number (3146850).

Almost surely, 2^132006888 is an apocalyptic number.

132006888 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 132006888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201398400).

132006888 is an abundant number, since it is smaller than the sum of its proper divisors (270789912).

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

132006888 is a wasteful number, since it uses less digits than its factorization.

132006888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 132006888 is about 11489.4250508892. The cubic root of 132006888 is about 509.1731931855.

The spelling of 132006888 in words is "one hundred thirty-two million, six thousand, eight hundred eighty-eight".