132638688 has 288 divisors, whose sum is σ = 486652320. Its totient is φ = 34836480.

The previous prime is 132638687. The next prime is 132638689. The reversal of 132638688 is 886836231.

132638688 is a `hidden beast` number, since 1 + 3 + 2 + 638 + 6 + 8 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (132638687) and next prime (132638689).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×132638688² = 35186043108722688, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 (132638687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550248 + ... + 550488.

It is an arithmetic number, because the mean of its divisors is an integer number (1689765).

Almost surely, 2^132638688 is an apocalyptic number.

132638688 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 132638688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243326160).

132638688 is an abundant number, since it is smaller than the sum of its proper divisors (354013632).

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

132638688 is a wasteful number, since it uses less digits than its factorization.

132638688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 266 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 132638688 is about 11516.8870794152. The cubic root of 132638688 is about 509.9842209651.

The spelling of 132638688 in words is "one hundred thirty-two million, six hundred thirty-eight thousand, six hundred eighty-eight".