131625844 has 48 divisors (see below), whose sum is σ = 278248320. Its totient is φ = 53222400.

The previous prime is 131625833. The next prime is 131625853. The reversal of 131625844 is 448526131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213024 + ... + 213640.

It is an arithmetic number, because the mean of its divisors is an integer number (5796840).

Almost surely, 2^131625844 is an apocalyptic number.

131625844 is a gapful number since it is divisible by the number (14) 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 131625844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139124160).

131625844 is an abundant number, since it is smaller than the sum of its proper divisors (146622476).

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

131625844 is a wasteful number, since it uses less digits than its factorization.

131625844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1046 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 131625844 is about 11472.8306881955. The cubic root of 131625844 is about 508.6828036986.

The spelling of 131625844 in words is "one hundred thirty-one million, six hundred twenty-five thousand, eight hundred forty-four".