131353632 has 72 divisors (see below), whose sum is σ = 376166700. Its totient is φ = 43476480.

The previous prime is 131353613. The next prime is 131353637. The reversal of 131353632 is 236353131.

It is a happy number.

131353632 is a `hidden beast` number, since 13 + 13 + 5 + 3 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130782096 + 571536 = 11436^2 + 756^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 131353596 and 131353605.

It is not an unprimeable number, because it can be changed into a prime (131353637) 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 11 ways as a sum of consecutive naturals, for example, 41382 + ... + 44442.

Almost surely, 2^131353632 is an apocalyptic number.

131353632 is a gapful number since it is divisible by the number (12) 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 131353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188083350).

131353632 is an abundant number, since it is smaller than the sum of its proper divisors (244813068).

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

131353632 is a wasteful number, since it uses less digits than its factorization.

131353632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3226 (or 3215 counting only the distinct ones).

The product of its digits is 4860, while the sum is 27.

The square root of 131353632 is about 11460.9612162331. The cubic root of 131353632 is about 508.3318971084.

It can be divided in two parts, 1313 and 53632, that added together give a palindrome (54945).

The spelling of 131353632 in words is "one hundred thirty-one million, three hundred fifty-three thousand, six hundred thirty-two".