131442480 has 320 divisors, whose sum is σ = 506634240. Its totient is φ = 31104000.

The previous prime is 131442473. The next prime is 131442517. The reversal of 131442480 is 84244131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 870405 + ... + 870555.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2^131442480 is an apocalyptic number.

131442480 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 131442480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253317120).

131442480 is an abundant number, since it is smaller than the sum of its proper divisors (375191760).

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

131442480 is a wasteful number, since it uses less digits than its factorization.

131442480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 131442480 is about 11464.8366756792. The cubic root of 131442480 is about 508.4464836954.

The spelling of 131442480 in words is "one hundred thirty-one million, four hundred forty-two thousand, four hundred eighty".