131385024 has 112 divisors (see below), whose sum is σ = 389737600. Its totient is φ = 43400448.

The previous prime is 131385011. The next prime is 131385043. The reversal of 131385024 is 420583131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239919 + ... + 240465.

It is an arithmetic number, because the mean of its divisors is an integer number (3479800).

Almost surely, 2^131385024 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 131385024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194868800).

131385024 is an abundant number, since it is smaller than the sum of its proper divisors (258352576).

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

131385024 is a wasteful number, since it uses less digits than its factorization.

131385024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 131385024 is about 11462.3306530566. The cubic root of 131385024 is about 508.3723890324.

The spelling of 131385024 in words is "one hundred thirty-one million, three hundred eighty-five thousand, twenty-four".