131140464 has 120 divisors (see below), whose sum is σ = 424504080. Its totient is φ = 34578432.

The previous prime is 131140453. The next prime is 131140501. The reversal of 131140464 is 464041131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 28432 + ... + 32720.

It is an arithmetic number, because the mean of its divisors is an integer number (3537534).

Almost surely, 2^131140464 is an apocalyptic number.

131140464 is a gapful number since it is divisible by the number (14) 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 131140464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212252040).

131140464 is an abundant number, since it is smaller than the sum of its proper divisors (293363616).

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

131140464 is a wasteful number, since it uses less digits than its factorization.

131140464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4327 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 131140464 is about 11451.6576965957. The cubic root of 131140464 is about 508.0567651036.

Adding to 131140464 its reverse (464041131), we get a palindrome (595181595).

The spelling of 131140464 in words is "one hundred thirty-one million, one hundred forty thousand, four hundred sixty-four".