132968952 has 80 divisors (see below), whose sum is σ = 375095160. Its totient is φ = 44006976.

The previous prime is 132968947. The next prime is 132968987. The reversal of 132968952 is 259869231.

It is a junction number, because it is equal to n+sod(n) for n = 132968898 and 132968907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101083 + ... + 102389.

Almost surely, 2^132968952 is an apocalyptic number.

132968952 is a gapful number since it is divisible by the number (12) 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 132968952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187547580).

132968952 is an abundant number, since it is smaller than the sum of its proper divisors (242126208).

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

132968952 is a wasteful number, since it uses less digits than its factorization.

132968952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1469 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 132968952 is about 11531.2164145852. The cubic root of 132968952 is about 510.4071489223.

The spelling of 132968952 in words is "one hundred thirty-two million, nine hundred sixty-eight thousand, nine hundred fifty-two".