130141284000 has 768 divisors, whose sum is σ = 539078851584. Its totient is φ = 26707968000.

The previous prime is 130141283981. The next prime is 130141284041. The reversal of 130141284000 is 482141031.

It is a Cunningham number, because it is equal to 360751²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40402390 + ... + 40405610.

It is an arithmetic number, because the mean of its divisors is an integer number (701925588).

Almost surely, 2^130141284000 is an apocalyptic number.

130141284000 is a gapful number since it is divisible by the number (10) 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 130141284000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269539425792).

130141284000 is an abundant number, since it is smaller than the sum of its proper divisors (408937567584).

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

130141284000 is a wasteful number, since it uses less digits than its factorization.

130141284000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3288 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 130141284000 in words is "one hundred thirty billion, one hundred forty-one million, two hundred eighty-four thousand".