131334480 has 160 divisors (see below), whose sum is σ = 463720320. Its totient is φ = 34145280.

The previous prime is 131334461. The next prime is 131334493. The reversal of 131334480 is 84433131.

131334480 is a `hidden beast` number, since 1 + 313 + 344 + 8 + 0 = 666.

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 31 ways as a sum of consecutive naturals, for example, 87819 + ... + 89301.

It is an arithmetic number, because the mean of its divisors is an integer number (2898252).

Almost surely, 2^131334480 is an apocalyptic number.

131334480 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 131334480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231860160).

131334480 is an abundant number, since it is smaller than the sum of its proper divisors (332385840).

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

131334480 is a wasteful number, since it uses less digits than its factorization.

131334480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 131334480 is about 11460.1256537614. The cubic root of 131334480 is about 508.3071901512.

The spelling of 131334480 in words is "one hundred thirty-one million, three hundred thirty-four thousand, four hundred eighty".