132127968 has 96 divisors (see below), whose sum is σ = 400667904. Its totient is φ = 37343232.

The previous prime is 132127937. The next prime is 132127981. The reversal of 132127968 is 869721231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64171 + ... + 66197.

It is an arithmetic number, because the mean of its divisors is an integer number (4173624).

Almost surely, 2^132127968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132127968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200333952).

132127968 is an abundant number, since it is smaller than the sum of its proper divisors (268539936).

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

132127968 is a wasteful number, since it uses less digits than its factorization.

132127968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2136 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 132127968 is about 11494.6930363538. The cubic root of 132127968 is about 509.3288210511.

The spelling of 132127968 in words is "one hundred thirty-two million, one hundred twenty-seven thousand, nine hundred sixty-eight".