131353440 has 48 divisors (see below), whose sum is σ = 413764848. Its totient is φ = 35027456.

The previous prime is 131353427. The next prime is 131353447. The reversal of 131353440 is 44353131.

131353440 = 1401² + 1402² + ... + 1464².

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 131353440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131353447) 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 7 ways as a sum of consecutive naturals, for example, 136347 + ... + 137306.

It is an arithmetic number, because the mean of its divisors is an integer number (8620101).

Almost surely, 2^131353440 is an apocalyptic number.

131353440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131353440 is an abundant number, since it is smaller than the sum of its proper divisors (282411408).

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

131353440 is a wasteful number, since it uses less digits than its factorization.

131353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273671 (or 273663 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 131353440 is about 11460.9528399693. The cubic root of 131353440 is about 508.3316494316.

The spelling of 131353440 in words is "one hundred thirty-one million, three hundred fifty-three thousand, four hundred forty".