130742784 has 120 divisors (see below), whose sum is σ = 399767940. Its totient is φ = 40992768.

The previous prime is 130742771. The next prime is 130742791. The reversal of 130742784 is 487247031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 127238400 + 3504384 = 11280^2 + 1872^2 .

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

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 11 ways as a sum of consecutive naturals, for example, 77502 + ... + 79170.

Almost surely, 2^130742784 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 130742784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199883970).

130742784 is an abundant number, since it is smaller than the sum of its proper divisors (269025156).

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

130742784 is a wasteful number, since it uses less digits than its factorization.

130742784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 130742784 is about 11434.2810880265. The cubic root of 130742784 is about 507.5426888630.

The spelling of 130742784 in words is "one hundred thirty million, seven hundred forty-two thousand, seven hundred eighty-four".