131972544 has 224 divisors, whose sum is σ = 434522880. Its totient is φ = 38937600.

The previous prime is 131972543. The next prime is 131972593. The reversal of 131972544 is 445279131.

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

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

Its product of digits (30240) is a multiple of the sum of its prime factors (216).

It is a junction number, because it is equal to n+sod(n) for n = 131972499 and 131972508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131972543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007359 + ... + 1007489.

Almost surely, 2^131972544 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 131972544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217261440).

131972544 is an abundant number, since it is smaller than the sum of its proper divisors (302550336).

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

131972544 is a wasteful number, since it uses less digits than its factorization.

131972544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 131972544 is about 11487.9303619059. The cubic root of 131972544 is about 509.1290324574.

The spelling of 131972544 in words is "one hundred thirty-one million, nine hundred seventy-two thousand, five hundred forty-four".