131714880 has 112 divisors (see below), whose sum is σ = 456249024. Its totient is φ = 31928320.

The previous prime is 131714873. The next prime is 131714881. The reversal of 131714880 is 88417131.

It is a super-2 number, since 2×131714880² = 34697619226828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131714881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4324 + ... + 16796.

It is an arithmetic number, because the mean of its divisors is an integer number (4073652).

Almost surely, 2^131714880 is an apocalyptic number.

131714880 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 131714880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228124512).

131714880 is an abundant number, since it is smaller than the sum of its proper divisors (324534144).

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

131714880 is a wasteful number, since it uses less digits than its factorization.

131714880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12504 (or 12494 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 131714880 is about 11476.7103300554. The cubic root of 131714880 is about 508.7974743753.

The spelling of 131714880 in words is "one hundred thirty-one million, seven hundred fourteen thousand, eight hundred eighty".