131356544 has 64 divisors (see below), whose sum is σ = 295412400. Its totient is φ = 57630720.

The previous prime is 131356531. The next prime is 131356553. The reversal of 131356544 is 445653131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 131356544.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 39224 + ... + 42440.

Almost surely, 2^131356544 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 131356544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147706200).

131356544 is an abundant number, since it is smaller than the sum of its proper divisors (164055856).

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

131356544 is a wasteful number, since it uses less digits than its factorization.

131356544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3259 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 131356544 is about 11461.0882554843. The cubic root of 131356544 is about 508.3356535115.

The spelling of 131356544 in words is "one hundred thirty-one million, three hundred fifty-six thousand, five hundred forty-four".