131804064 has 384 divisors, whose sum is σ = 490291200. Its totient is φ = 33592320.

The previous prime is 131804063. The next prime is 131804081. The reversal of 131804064 is 460408131.

It is a super-2 number, since 2×131804064² = 34744622573832192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131804063) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3562254 + ... + 3562290.

It is an arithmetic number, because the mean of its divisors is an integer number (1276800).

Almost surely, 2^131804064 is an apocalyptic number.

131804064 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 131804064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245145600).

131804064 is an abundant number, since it is smaller than the sum of its proper divisors (358487136).

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

131804064 is a wasteful number, since it uses less digits than its factorization.

131804064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 131804064 is about 11480.5951065265. The cubic root of 131804064 is about 508.9122838697.

The spelling of 131804064 in words is "one hundred thirty-one million, eight hundred four thousand, sixty-four".