131732136 has 128 divisors (see below), whose sum is σ = 384134400. Its totient is φ = 41783040.

The previous prime is 131732131. The next prime is 131732137. The reversal of 131732136 is 631237131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (131732131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423421 + ... + 423731.

It is an arithmetic number, because the mean of its divisors is an integer number (3001050).

Almost surely, 2^131732136 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 131732136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192067200).

131732136 is an abundant number, since it is smaller than the sum of its proper divisors (252402264).

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

131732136 is a wasteful number, since it uses less digits than its factorization.

131732136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 406 counting only the distinct ones).

The product of its digits is 2268, while the sum is 27.

The square root of 131732136 is about 11477.4620888069. The cubic root of 131732136 is about 508.8196926340.

Adding to 131732136 its reverse (631237131), we get a palindrome (762969267).

The spelling of 131732136 in words is "one hundred thirty-one million, seven hundred thirty-two thousand, one hundred thirty-six".