130642938288 has 160 divisors (see below), whose sum is σ = 387133208000. Its totient is φ = 42150150144.

The previous prime is 130642938253. The next prime is 130642938311. The reversal of 130642938288 is 882839246031.

130642938288 is a `hidden beast` number, since 1 + 306 + 4 + 29 + 38 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3063738 + ... + 3106086.

It is an arithmetic number, because the mean of its divisors is an integer number (2419582550).

Almost surely, 2^130642938288 is an apocalyptic number.

130642938288 is a gapful number since it is divisible by the number (18) 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 130642938288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193566604000).

130642938288 is an abundant number, since it is smaller than the sum of its proper divisors (256490269712).

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

130642938288 is a wasteful number, since it uses less digits than its factorization.

130642938288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42596 (or 42584 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 130642938288 in words is "one hundred thirty billion, six hundred forty-two million, nine hundred thirty-eight thousand, two hundred eighty-eight".