131953752 has 128 divisors (see below), whose sum is σ = 421977600. Its totient is φ = 37425024.

The previous prime is 131953739. The next prime is 131953781. The reversal of 131953752 is 257359131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297643 + ... + 298085.

It is an arithmetic number, because the mean of its divisors is an integer number (3296700).

Almost surely, 2^131953752 is an apocalyptic number.

131953752 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 131953752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210988800).

131953752 is an abundant number, since it is smaller than the sum of its proper divisors (290023848).

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

131953752 is a wasteful number, since it uses less digits than its factorization.

131953752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its digits is 28350, while the sum is 36.

The square root of 131953752 is about 11487.1124308940. The cubic root of 131953752 is about 509.1048657970.

The spelling of 131953752 in words is "one hundred thirty-one million, nine hundred fifty-three thousand, seven hundred fifty-two".