61131132 has 96 divisors (see below), whose sum is σ = 172390400. Its totient is φ = 18681840.

The previous prime is 61131097. The next prime is 61131137. The reversal of 61131132 is 23113116.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61131137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1971957 + ... + 1971987.

Almost surely, 2^61131132 is an apocalyptic number.

61131132 is a gapful number since it is divisible by the number (62) 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 61131132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86195200).

61131132 is an abundant number, since it is smaller than the sum of its proper divisors (111259268).

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

61131132 is a wasteful number, since it uses less digits than its factorization.

61131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 55 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 61131132 is about 7818.6400351979. The cubic root of 61131132 is about 393.9315933357.

Adding to 61131132 its reverse (23113116), we get a palindrome (84244248).

The spelling of 61131132 in words is "sixty-one million, one hundred thirty-one thousand, one hundred thirty-two".