131125040 has 80 divisors (see below), whose sum is σ = 323431680. Its totient is φ = 49351680.

The previous prime is 131125039. The next prime is 131125073. The reversal of 131125040 is 40521131.

131125040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×131125040² = 34387552230003200, which contains 22 as substring.

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, 91046 + ... + 92474.

It is an arithmetic number, because the mean of its divisors is an integer number (4042896).

Almost surely, 2^131125040 is an apocalyptic number.

131125040 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 131125040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161715840).

131125040 is an abundant number, since it is smaller than the sum of its proper divisors (192306640).

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

131125040 is a wasteful number, since it uses less digits than its factorization.

131125040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1510 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 131125040 is about 11450.9842371737. The cubic root of 131125040 is about 508.0368460678.

Adding to 131125040 its reverse (40521131), we get a palindrome (171646171).

The spelling of 131125040 in words is "one hundred thirty-one million, one hundred twenty-five thousand, forty".