131911440 has 120 divisors (see below), whose sum is σ = 427889280. Its totient is φ = 33614592.

The previous prime is 131911427. The next prime is 131911441. The reversal of 131911440 is 44119131.

It is a tau number, because it is divible by the number of its divisors (120).

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 131911440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131911441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126441 + ... + 127479.

It is an arithmetic number, because the mean of its divisors is an integer number (3565744).

Almost surely, 2^131911440 is an apocalyptic number.

131911440 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 131911440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213944640).

131911440 is an abundant number, since it is smaller than the sum of its proper divisors (295977840).

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

131911440 is a wasteful number, since it uses less digits than its factorization.

131911440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 131911440 is about 11485.2705671220. The cubic root of 131911440 is about 509.0504438307.

The spelling of 131911440 in words is "one hundred thirty-one million, nine hundred eleven thousand, four hundred forty".