131753752 has 96 divisors (see below), whose sum is σ = 295142400. Its totient is φ = 54857088.

The previous prime is 131753749. The next prime is 131753753. The reversal of 131753752 is 257357131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131753753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590713 + ... + 590935.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2^131753752 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 131753752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

131753752 is an abundant number, since it is smaller than the sum of its proper divisors (163388648).

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

131753752 is a wasteful number, since it uses less digits than its factorization.

131753752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its digits is 22050, while the sum is 34.

The square root of 131753752 is about 11478.4037217725. The cubic root of 131753752 is about 508.8475219481.

The spelling of 131753752 in words is "one hundred thirty-one million, seven hundred fifty-three thousand, seven hundred fifty-two".