132917841 has 63 divisors (see below), whose sum is σ = 235684683. Its totient is φ = 74707920.

The previous prime is 132917821. The next prime is 132917843. The reversal of 132917841 is 148719231.

It is a happy number.

The square root of 132917841 is 11529.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4322241 + 128595600 = 2079^2 + 11340^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 132917841 - 2⁵ = 132917809 is a prime.

It is a super-2 number, since 2×132917841² = 35334304912202562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132917796 and 132917805.

It is not an unprimeable number, because it can be changed into a prime (132917843) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2178951 + ... + 2179011.

Almost surely, 2^132917841 is an apocalyptic number.

132917841 is the 11529-th square number.

132917841 is the 5765-th centered octagonal number.

It is an amenable number.

132917841 is a deficient number, since it is larger than the sum of its proper divisors (102766842).

132917841 is an frugal number, since it uses more digits than its factorization.

132917841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 71 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The cubic root of 132917841 is about 510.3417432702.

Multiplying 132917841 by its sum of digits (36), we get a square (4785042276 = 69174²).

The spelling of 132917841 in words is "one hundred thirty-two million, nine hundred seventeen thousand, eight hundred forty-one".