131753280 has 112 divisors (see below), whose sum is σ = 424427904. Its totient is φ = 34621440.

The previous prime is 131753249. The next prime is 131753299. The reversal of 131753280 is 82357131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 67194 + ... + 69126.

Almost surely, 2^131753280 is an apocalyptic number.

131753280 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 131753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212213952).

131753280 is an abundant number, since it is smaller than the sum of its proper divisors (292674624).

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

131753280 is a wasteful number, since it uses less digits than its factorization.

131753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 131753280 is about 11478.3831614039. The cubic root of 131753280 is about 508.8469143086.

The spelling of 131753280 in words is "one hundred thirty-one million, seven hundred fifty-three thousand, two hundred eighty".