132416536 has 64 divisors (see below), whose sum is σ = 302054400. Its totient is φ = 53125632.

The previous prime is 132416521. The next prime is 132416539. The reversal of 132416536 is 635614231.

It is a junction number, because it is equal to n+sod(n) for n = 132416498 and 132416507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132416539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349195 + ... + 349573.

It is an arithmetic number, because the mean of its divisors is an integer number (4719600).

Almost surely, 2^132416536 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 132416536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151027200).

132416536 is an abundant number, since it is smaller than the sum of its proper divisors (169637864).

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

132416536 is a wasteful number, since it uses less digits than its factorization.

132416536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 772 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 132416536 is about 11507.2384176222. The cubic root of 132416536 is about 509.6993434882.

The spelling of 132416536 in words is "one hundred thirty-two million, four hundred sixteen thousand, five hundred thirty-six".