132958672 has 60 divisors (see below), whose sum is σ = 323639008. Its totient is φ = 51796800.

The previous prime is 132958669. The next prime is 132958673. The reversal of 132958672 is 276859231.

It is a super-3 number, since 3×132958672³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132958673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8647 + ... + 18457.

Almost surely, 2^132958672 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 132958672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161819504).

132958672 is an abundant number, since it is smaller than the sum of its proper divisors (190680336).

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

132958672 is a wasteful number, since it uses less digits than its factorization.

132958672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9848 (or 9831 counting only the distinct ones).

The product of its digits is 181440, while the sum is 43.

The square root of 132958672 is about 11530.7706594139. The cubic root of 132958672 is about 510.3939951731.

The spelling of 132958672 in words is "one hundred thirty-two million, nine hundred fifty-eight thousand, six hundred seventy-two".