131842032 has 80 divisors (see below), whose sum is σ = 390689280. Its totient is φ = 37529856.

The previous prime is 131842031. The next prime is 131842037. The reversal of 131842032 is 230248131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131841993 and 131842011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131842031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120078 + ... + 121170.

It is an arithmetic number, because the mean of its divisors is an integer number (4883616).

Almost surely, 2^131842032 is an apocalyptic number.

131842032 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 131842032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195344640).

131842032 is an abundant number, since it is smaller than the sum of its proper divisors (258847248).

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

131842032 is a wasteful number, since it uses less digits than its factorization.

131842032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131842032 is about 11482.2485602777. The cubic root of 131842032 is about 508.9611456067.

The spelling of 131842032 in words is "one hundred thirty-one million, eight hundred forty-two thousand, thirty-two".