131402304 has 224 divisors, whose sum is σ = 436961280. Its totient is φ = 38361600.

The previous prime is 131402291. The next prime is 131402351. The reversal of 131402304 is 403204131.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 589137 + ... + 589359.

It is an arithmetic number, because the mean of its divisors is an integer number (1950720).

Almost surely, 2^131402304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131402304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218480640).

131402304 is an abundant number, since it is smaller than the sum of its proper divisors (305558976).

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

131402304 is a wasteful number, since it uses less digits than its factorization.

131402304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131402304 is about 11463.0844016783. The cubic root of 131402304 is about 508.3946754126.

Adding to 131402304 its reverse (403204131), we get a palindrome (534606435).

The spelling of 131402304 in words is "one hundred thirty-one million, four hundred two thousand, three hundred four".