131267472 has 200 divisors, whose sum is σ = 425124576. Its totient is φ = 34771968.

The previous prime is 131267443. The next prime is 131267473. The reversal of 131267472 is 274762131.

It is a super-2 number, since 2×131267472² = 34462298410541568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (14112) is a multiple of the sum of its prime divisors (96).

It is not an unprimeable number, because it can be changed into a prime (131267473) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1959183 + ... + 1959249.

Almost surely, 2^131267472 is an apocalyptic number.

131267472 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 131267472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212562288).

131267472 is an abundant number, since it is smaller than the sum of its proper divisors (293857104).

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

131267472 is an equidigital number, since it uses as much as digits as its factorization.

131267472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 96 counting only the distinct ones).

The product of its digits is 14112, while the sum is 33.

The square root of 131267472 is about 11457.2017526096. The cubic root of 131267472 is about 508.2207278540.

The spelling of 131267472 in words is "one hundred thirty-one million, two hundred sixty-seven thousand, four hundred seventy-two".