130420146560 has 256 divisors, whose sum is σ = 359806060800. Its totient is φ = 44706816000.

The previous prime is 130420146539. The next prime is 130420146569. The reversal of 130420146560 is 65641024031.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130420146569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28221050 + ... + 28225670.

It is an arithmetic number, because the mean of its divisors is an integer number (1405492425).

Almost surely, 2^130420146560 is an apocalyptic number.

130420146560 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 130420146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179903030400).

130420146560 is an abundant number, since it is smaller than the sum of its proper divisors (229385914240).

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

130420146560 is a wasteful number, since it uses less digits than its factorization.

130420146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4881 (or 4869 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 130420146560 in words is "one hundred thirty billion, four hundred twenty million, one hundred forty-six thousand, five hundred sixty".