132106968 has 96 divisors (see below), whose sum is σ = 415702560. Its totient is φ = 37117440.

The previous prime is 132106967. The next prime is 132106969. The reversal of 132106968 is 869601231.

It is an interprime number because it is at equal distance from previous prime (132106967) and next prime (132106969).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132106967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28596 + ... + 32892.

It is an arithmetic number, because the mean of its divisors is an integer number (4330235).

Almost surely, 2^132106968 is an apocalyptic number.

132106968 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 132106968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207851280).

132106968 is an abundant number, since it is smaller than the sum of its proper divisors (283595592).

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

132106968 is a wasteful number, since it uses less digits than its factorization.

132106968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4377 (or 4370 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 132106968 is about 11493.7795350355. The cubic root of 132106968 is about 509.3018359191.

The spelling of 132106968 in words is "one hundred thirty-two million, one hundred six thousand, nine hundred sixty-eight".