131454240 has 96 divisors (see below), whose sum is σ = 417312000. Its totient is φ = 34781184.

The previous prime is 131454221. The next prime is 131454247. The reversal of 131454240 is 42454131.

It is a tau number, because it is divible by the number of its divisors (96).

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 131454240.

It is not an unprimeable number, because it can be changed into a prime (131454247) 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, 64761 + ... + 66759.

It is an arithmetic number, because the mean of its divisors is an integer number (4347000).

Almost surely, 2^131454240 is an apocalyptic number.

131454240 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 131454240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208656000).

131454240 is an abundant number, since it is smaller than the sum of its proper divisors (285857760).

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

131454240 is a wasteful number, since it uses less digits than its factorization.

131454240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 131454240 is about 11465.3495367564. The cubic root of 131454240 is about 508.4616466076.

The spelling of 131454240 in words is "one hundred thirty-one million, four hundred fifty-four thousand, two hundred forty".