131945472 has 132 divisors (see below), whose sum is σ = 387456160. Its totient is φ = 43241472.

The previous prime is 131945459. The next prime is 131945479. The reversal of 131945472 is 274549131.

131945472 is a `hidden beast` number, since 131 + 9 + 454 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131945479) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 949179 + ... + 949317.

Almost surely, 2^131945472 is an apocalyptic number.

131945472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131945472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193728080).

131945472 is an abundant number, since it is smaller than the sum of its proper divisors (255510688).

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

131945472 is a wasteful number, since it uses less digits than its factorization.

131945472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 247 counting only the distinct ones).

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

The square root of 131945472 is about 11486.7520213505. The cubic root of 131945472 is about 509.0942169235.

The spelling of 131945472 in words is "one hundred thirty-one million, nine hundred forty-five thousand, four hundred seventy-two".