131466672 has 80 divisors (see below), whose sum is σ = 379876480. Its totient is φ = 43530048.

The previous prime is 131466641. The next prime is 131466677. The reversal of 131466672 is 276664131.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (131466677) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 69483 + ... + 71349.

It is an arithmetic number, because the mean of its divisors is an integer number (4748456).

Almost surely, 2^131466672 is an apocalyptic number.

131466672 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 131466672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189938240).

131466672 is an abundant number, since it is smaller than the sum of its proper divisors (248409808).

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

131466672 is a wasteful number, since it uses less digits than its factorization.

131466672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2035 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 131466672 is about 11465.8916792372. The cubic root of 131466672 is about 508.4776749886.

The spelling of 131466672 in words is "one hundred thirty-one million, four hundred sixty-six thousand, six hundred seventy-two".