130344372735696 has 360 divisors, whose sum is σ = 447938844275520. Its totient is φ = 35181224128512.

The previous prime is 130344372735671. The next prime is 130344372735697. The reversal of 130344372735696 is 696537273443031.

130344372735696 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 4 + 43 + 7 + 27 + 3 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130344372735697) 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 71 ways as a sum of consecutive naturals, for example, 45947461 + ... + 48701723.

It is an arithmetic number, because the mean of its divisors is an integer number (1244274567432).

Almost surely, 2^{130344372735696} is an apocalyptic number.

130344372735696 is a gapful number since it is divisible by the number (16) 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 130344372735696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223969422137760).

130344372735696 is an abundant number, since it is smaller than the sum of its proper divisors (317594471539824).

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

130344372735696 is a wasteful number, since it uses less digits than its factorization.

130344372735696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754663 (or 2754647 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 63.

The spelling of 130344372735696 in words is "one hundred thirty trillion, three hundred forty-four billion, three hundred seventy-two million, seven hundred thirty-five thousand, six hundred ninety-six".