130614687000 has 768 divisors, whose sum is σ = 540329287680. Its totient is φ = 28880064000.

The previous prime is 130614686987. The next prime is 130614687001. The reversal of 130614687000 is 786416031.

130614687000 is a `hidden beast` number, since 1 + 30 + 614 + 6 + 8 + 7 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130614687001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52729762 + ... + 52732238.

It is an arithmetic number, because the mean of its divisors is an integer number (703553760).

Almost surely, 2^130614687000 is an apocalyptic number.

130614687000 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 130614687000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270164643840).

130614687000 is an abundant number, since it is smaller than the sum of its proper divisors (409714600680).

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

130614687000 is a wasteful number, since it uses less digits than its factorization.

130614687000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2551 (or 2525 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 130614687000 in words is "one hundred thirty billion, six hundred fourteen million, six hundred eighty-seven thousand".