131414240 has 48 divisors (see below), whose sum is σ = 315750960. Its totient is φ = 51671040.

The previous prime is 131414237. The next prime is 131414263. The reversal of 131414240 is 42414131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2480 + ... + 16400.

It is an arithmetic number, because the mean of its divisors is an integer number (6578145).

Almost surely, 2^131414240 is an apocalyptic number.

131414240 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 131414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157875480).

131414240 is an abundant number, since it is smaller than the sum of its proper divisors (184336720).

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

131414240 is a wasteful number, since it uses less digits than its factorization.

131414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13995 (or 13987 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 131414240 is about 11463.6050176199. The cubic root of 131414240 is about 508.4100683825.

Adding to 131414240 its reverse (42414131), we get a palindrome (173828371).

The spelling of 131414240 in words is "one hundred thirty-one million, four hundred fourteen thousand, two hundred forty".