132964157 has 8 divisors (see below), whose sum is σ = 141190776. Its totient is φ = 124782592.

The previous prime is 132964133. The next prime is 132964187. The reversal of 132964157 is 751469231.

It can be written as a sum of positive squares in 4 ways, for example, as 53860921 + 79103236 = 7339^2 + 8894^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132964157 - 2¹⁰ = 132963133 is a prime.

It is a super-3 number, since 3×132964157³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 132964157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132964187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5078 + ... + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (17648847).

Almost surely, 2^132964157 is an apocalyptic number.

132964157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

132964157 is a deficient number, since it is larger than the sum of its proper divisors (8226619).

132964157 is a wasteful number, since it uses less digits than its factorization.

132964157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22527.

The product of its digits is 45360, while the sum is 38.

The square root of 132964157 is about 11531.0084988261. The cubic root of 132964157 is about 510.4010135760.

The spelling of 132964157 in words is "one hundred thirty-two million, nine hundred sixty-four thousand, one hundred fifty-seven".