131457546 has 128 divisors (see below), whose sum is σ = 337305600. Its totient is φ = 37897200.

The previous prime is 131457517. The next prime is 131457563. The reversal of 131457546 is 645754131.

It is a self number, because there is not a number n which added to its sum of digits gives 131457546.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2228065 + ... + 2228123.

It is an arithmetic number, because the mean of its divisors is an integer number (2635200).

Almost surely, 2^131457546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131457546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652800).

131457546 is an abundant number, since it is smaller than the sum of its proper divisors (205848054).

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

131457546 is a wasteful number, since it uses less digits than its factorization.

131457546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 106 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 131457546 is about 11465.4937093873. The cubic root of 131457546 is about 508.4659090797.

The spelling of 131457546 in words is "one hundred thirty-one million, four hundred fifty-seven thousand, five hundred forty-six".