131348480 has 96 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 51609600.

The previous prime is 131348479. The next prime is 131348489. The reversal of 131348480 is 84843131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131348489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1034177 + ... + 1034303.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2^131348480 is an apocalyptic number.

131348480 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 131348480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

131348480 is an abundant number, since it is smaller than the sum of its proper divisors (189437440).

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

131348480 is a wasteful number, since it uses less digits than its factorization.

131348480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 131348480 is about 11460.7364510314. The cubic root of 131348480 is about 508.3252510286.

The spelling of 131348480 in words is "one hundred thirty-one million, three hundred forty-eight thousand, four hundred eighty".