131744880 has 180 divisors, whose sum is σ = 461267352. Its totient is φ = 34992000.

The previous prime is 131744869. The next prime is 131744881. The reversal of 131744880 is 88447131.

131744880 is a `hidden beast` number, since 1 + 3 + 174 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131744881) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 524755 + ... + 525005.

Almost surely, 2^131744880 is an apocalyptic number.

131744880 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 131744880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230633676).

131744880 is an abundant number, since it is smaller than the sum of its proper divisors (329522472).

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

131744880 is an frugal number, since it uses more digits than its factorization.

131744880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 131744880 is about 11478.0172503791. The cubic root of 131744880 is about 508.8361001442.

The spelling of 131744880 in words is "one hundred thirty-one million, seven hundred forty-four thousand, eight hundred eighty".