131254080 has 112 divisors (see below), whose sum is σ = 425744640. Its totient is φ = 34244608.

The previous prime is 131254069. The next prime is 131254099. The reversal of 131254080 is 80452131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131254080.

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, 43666 + ... + 46574.

Almost surely, 2^131254080 is an apocalyptic number.

131254080 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 131254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212872320).

131254080 is an abundant number, since it is smaller than the sum of its proper divisors (294490560).

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

131254080 is a wasteful number, since it uses less digits than its factorization.

131254080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 131254080 is about 11456.6173018042. The cubic root of 131254080 is about 508.2034442540.

It can be divided in two parts, 13125 and 4080, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 131254080 in words is "one hundred thirty-one million, two hundred fifty-four thousand, eighty".