131417720 has 64 divisors (see below), whose sum is σ = 340009920. Its totient is φ = 44780544.

The previous prime is 131417717. The next prime is 131417771. The reversal of 131417720 is 27714131.

It is a happy number.

131417720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 131417720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47084 + ... + 49796.

It is an arithmetic number, because the mean of its divisors is an integer number (5312655).

Almost surely, 2^131417720 is an apocalyptic number.

131417720 is a gapful number since it is divisible by the number (10) 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 131417720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170004960).

131417720 is an abundant number, since it is smaller than the sum of its proper divisors (208592200).

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

131417720 is a wasteful number, since it uses less digits than its factorization.

131417720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2904 (or 2900 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 131417720 is about 11463.7568013283. The cubic root of 131417720 is about 508.4145561037.

The spelling of 131417720 in words is "one hundred thirty-one million, four hundred seventeen thousand, seven hundred twenty".