131525020 has 48 divisors (see below), whose sum is σ = 305843328. Its totient is φ = 47108160.

The previous prime is 131524979. The next prime is 131525041. The reversal of 131525020 is 20525131.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10279 + ... + 19201.

It is an arithmetic number, because the mean of its divisors is an integer number (6371736).

Almost surely, 2^131525020 is an apocalyptic number.

131525020 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 131525020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152921664).

131525020 is an abundant number, since it is smaller than the sum of its proper divisors (174318308).

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

131525020 is a wasteful number, since it uses less digits than its factorization.

131525020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9008 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 131525020 is about 11468.4358131351. The cubic root of 131525020 is about 508.5528886449.

It can be divided in two parts, 1315 and 25020, that added together give a triangular number (26335 = T₂₂₉).

The spelling of 131525020 in words is "one hundred thirty-one million, five hundred twenty-five thousand, twenty".