132161536 has 112 divisors (see below), whose sum is σ = 305510184. Its totient is φ = 56623104.

The previous prime is 132161531. The next prime is 132161537. The reversal of 132161536 is 635161231.

It can be written as a sum of positive squares in 4 ways, for example, as 111513600 + 20647936 = 10560^2 + 4544^2 .

It is not an unprimeable number, because it can be changed into a prime (132161531) 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, 1810396 + ... + 1810468.

Almost surely, 2^132161536 is an apocalyptic number.

132161536 is a gapful number since it is divisible by the number (16) 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 132161536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152755092).

132161536 is an abundant number, since it is smaller than the sum of its proper divisors (173348648).

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

132161536 is an equidigital number, since it uses as much as digits as its factorization.

132161536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 105 counting only the distinct ones).

The product of its digits is 3240, while the sum is 28.

The square root of 132161536 is about 11496.1530957099. The cubic root of 132161536 is about 509.3719502044.

The spelling of 132161536 in words is "one hundred thirty-two million, one hundred sixty-one thousand, five hundred thirty-six".