131908480 has 128 divisors (see below), whose sum is σ = 353172960. Its totient is φ = 46694400.

The previous prime is 131908453. The next prime is 131908561. The reversal of 131908480 is 84809131.

131908480 = T₁₁ + T₁₂ + ... + T₉₂₄.

It is a happy number.

131908480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

131908480 is a Rhonda number in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288412 + ... + 288868.

Almost surely, 2^131908480 is an apocalyptic number.

131908480 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 131908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176586480).

131908480 is an abundant number, since it is smaller than the sum of its proper divisors (221264480).

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

131908480 is a wasteful number, since it uses less digits than its factorization.

131908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 131908480 is about 11485.1417056996. The cubic root of 131908480 is about 509.0466362242.

The spelling of 131908480 in words is "one hundred thirty-one million, nine hundred eight thousand, four hundred eighty".