130834501478352 has 200 divisors, whose sum is σ = 432803838948096. Its totient is φ = 37378289735424.

The previous prime is 130834501478333. The next prime is 130834501478353. The reversal of 130834501478352 is 253874105438031.

130834501478352 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 3 + 4 + 501 + 4 + 7 + 83 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130834501478353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 113853433 + ... + 114996839.

Almost surely, 2^{130834501478352} is an apocalyptic number.

130834501478352 is a gapful number since it is divisible by the number (12) 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 130834501478352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216401919474048).

130834501478352 is an abundant number, since it is smaller than the sum of its proper divisors (301969337469744).

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

130834501478352 is a wasteful number, since it uses less digits than its factorization.

130834501478352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156047 (or 1156032 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 130834501478352 in words is "one hundred thirty trillion, eight hundred thirty-four billion, five hundred one million, four hundred seventy-eight thousand, three hundred fifty-two".