130336747200 has 1512 divisors, whose sum is σ = 557635420160. Its totient is φ = 28740096000.

The previous prime is 130336747199. The next prime is 130336747201. The reversal of 130336747200 is 2747633031.

It is an interprime number because it is at equal distance from previous prime (130336747199) and next prime (130336747201).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (130336747201) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 1026273537 + ... + 1026273663.

Almost surely, 2^130336747200 is an apocalyptic number.

130336747200 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 130336747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278817710080).

130336747200 is an abundant number, since it is smaller than the sum of its proper divisors (427298672960).

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

130336747200 is a wasteful number, since it uses less digits than its factorization.

130336747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 130336747200 in words is "one hundred thirty billion, three hundred thirty-six million, seven hundred forty-seven thousand, two hundred".