130145485942080 has 448 divisors, whose sum is σ = 530122988398080. Its totient is φ = 29440862650368.

The previous prime is 130145485942079. The next prime is 130145485942117. The reversal of 130145485942080 is 80249584541031.

130145485942080 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 4 + 5 + 48 + 594 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×130145485942080² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5225587 + ... + 16958706.

It is an arithmetic number, because the mean of its divisors is an integer number (1183310241960).

Almost surely, 2^{130145485942080} is an apocalyptic number.

130145485942080 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 130145485942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265061494199040).

130145485942080 is an abundant number, since it is smaller than the sum of its proper divisors (399977502456000).

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

130145485942080 is a wasteful number, since it uses less digits than its factorization.

130145485942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22184423 (or 22184407 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 130145485942080 in words is "one hundred thirty trillion, one hundred forty-five billion, four hundred eighty-five million, nine hundred forty-two thousand, eighty".