131611632 has 40 divisors (see below), whose sum is σ = 357893760. Its totient is φ = 41561280.

The previous prime is 131611631. The next prime is 131611663. The reversal of 131611632 is 236116131.

131611632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131611631) 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, 71244 + ... + 73067.

It is an arithmetic number, because the mean of its divisors is an integer number (8947344).

Almost surely, 2^131611632 is an apocalyptic number.

131611632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131611632 is an abundant number, since it is smaller than the sum of its proper divisors (226282128).

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

131611632 is a wasteful number, since it uses less digits than its factorization.

131611632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144341 (or 144335 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 131611632 is about 11472.2112951253. The cubic root of 131611632 is about 508.6644950848.

Adding to 131611632 its reverse (236116131), we get a palindrome (367727763).

The spelling of 131611632 in words is "one hundred thirty-one million, six hundred eleven thousand, six hundred thirty-two".