131625580 has 48 divisors (see below), whose sum is σ = 289818144. Its totient is φ = 50158080.

The previous prime is 131625547. The next prime is 131625583. The reversal of 131625580 is 85526131.

It is not an unprimeable number, because it can be changed into a prime (131625583) 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, 33394 + ... + 37126.

It is an arithmetic number, because the mean of its divisors is an integer number (6037878).

Almost surely, 2^131625580 is an apocalyptic number.

131625580 is a gapful number since it is divisible by the number (10) 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 131625580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144909072).

131625580 is an abundant number, since it is smaller than the sum of its proper divisors (158192564).

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

131625580 is a wasteful number, since it uses less digits than its factorization.

131625580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3826 (or 3824 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 131625580 is about 11472.8191827467. The cubic root of 131625580 is about 508.6824636125.

It can be divided in two parts, 1316 and 25580, that added together give a square (26896 = 164²).

The spelling of 131625580 in words is "one hundred thirty-one million, six hundred twenty-five thousand, five hundred eighty".