131598144 has 42 divisors (see below), whose sum is σ = 377203970. Its totient is φ = 43865856.

The previous prime is 131598133. The next prime is 131598191. The reversal of 131598144 is 441895131.

It can be written as a sum of positive squares in only one way, i.e., 127238400 + 4359744 = 11280^2 + 2088^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131598099 and 131598108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113659 + ... + 114810.

Almost surely, 2^131598144 is an apocalyptic number.

It is an amenable number.

131598144 is an abundant number, since it is smaller than the sum of its proper divisors (245605826).

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

131598144 is a wasteful number, since it uses less digits than its factorization.

131598144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228487 (or 228474 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 131598144 is about 11471.6234247817. The cubic root of 131598144 is about 508.6471179453.

The spelling of 131598144 in words is "one hundred thirty-one million, five hundred ninety-eight thousand, one hundred forty-four".