131517220 has 96 divisors (see below), whose sum is σ = 302480640. Its totient is φ = 47900160.

The previous prime is 131517193. The next prime is 131517247. The reversal of 131517220 is 22715131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131517193) and next prime (131517247).

It is a junction number, because it is equal to n+sod(n) for n = 131517191 and 131517200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206526 + ... + 1206634.

It is an arithmetic number, because the mean of its divisors is an integer number (3150840).

Almost surely, 2^131517220 is an apocalyptic number.

131517220 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 131517220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151240320).

131517220 is an abundant number, since it is smaller than the sum of its proper divisors (170963420).

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

131517220 is a wasteful number, since it uses less digits than its factorization.

131517220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 131517220 is about 11468.0957442812. The cubic root of 131517220 is about 508.5428353208.

The spelling of 131517220 in words is "one hundred thirty-one million, five hundred seventeen thousand, two hundred twenty".