131354784 has 240 divisors, whose sum is σ = 447866496. Its totient is φ = 37324800.

The previous prime is 131354761. The next prime is 131354789. The reversal of 131354784 is 487453131.

It is a happy number.

131354784 is a `hidden beast` number, since 1 + 31 + 3 + 547 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131354789) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 484569 + ... + 484839.

Almost surely, 2^131354784 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 131354784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223933248).

131354784 is an abundant number, since it is smaller than the sum of its proper divisors (316511712).

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

131354784 is a wasteful number, since it uses less digits than its factorization.

131354784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 304 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 131354784 is about 11461.0114736877. The cubic root of 131354784 is about 508.3333831646. Note that the first 4 decimals are identical.

The spelling of 131354784 in words is "one hundred thirty-one million, three hundred fifty-four thousand, seven hundred eighty-four".