131058048 has 256 divisors, whose sum is σ = 423014400. Its totient is φ = 35481600.

The previous prime is 131058041. The next prime is 131058089. The reversal of 131058048 is 840850131.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131058041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1845853 + ... + 1845923.

It is an arithmetic number, because the mean of its divisors is an integer number (1652400).

Almost surely, 2^131058048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

131058048 is an abundant number, since it is smaller than the sum of its proper divisors (291956352).

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

131058048 is a wasteful number, since it uses less digits than its factorization.

131058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 131058048 is about 11448.0587000592. The cubic root of 131058048 is about 507.9503123742.

The spelling of 131058048 in words is "one hundred thirty-one million, fifty-eight thousand, forty-eight".