130061523840 has 512 divisors, whose sum is σ = 451650124800. Its totient is φ = 31723094016.

The previous prime is 130061523829. The next prime is 130061523853. The reversal of 130061523840 is 48325160031.

130061523840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 225409632 + ... + 225410208.

It is an arithmetic number, because the mean of its divisors is an integer number (882129150).

Almost surely, 2^130061523840 is an apocalyptic number.

130061523840 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 130061523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225825062400).

130061523840 is an abundant number, since it is smaller than the sum of its proper divisors (321588600960).

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

130061523840 is a wasteful number, since it uses less digits than its factorization.

130061523840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

Adding to 130061523840 its reverse (48325160031), we get a palindrome (178386683871).

The spelling of 130061523840 in words is "one hundred thirty billion, sixty-one million, five hundred twenty-three thousand, eight hundred forty".