131609280 has 224 divisors, whose sum is σ = 464076288. Its totient is φ = 31595520.

The previous prime is 131609273. The next prime is 131609293. The reversal of 131609280 is 82906131.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1277709 + ... + 1277811.

Almost surely, 2^131609280 is an apocalyptic number.

131609280 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 131609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232038144).

131609280 is an abundant number, since it is smaller than the sum of its proper divisors (332467008).

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

131609280 is a wasteful number, since it uses less digits than its factorization.

131609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 131609280 is about 11472.1087860951. The cubic root of 131609280 is about 508.6614649929.

The spelling of 131609280 in words is "one hundred thirty-one million, six hundred nine thousand, two hundred eighty".