130641500160 has 384 divisors, whose sum is σ = 468064396800. Its totient is φ = 34562211840.

The previous prime is 130641500141. The next prime is 130641500167. The reversal of 130641500160 is 61005146031.

130641500160 is a `hidden beast` number, since 1 + 3 + 0 + 641 + 5 + 0 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130641500167) 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, 36217077 + ... + 36220683.

It is an arithmetic number, because the mean of its divisors is an integer number (1218917700).

Almost surely, 2^130641500160 is an apocalyptic number.

130641500160 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 130641500160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234032198400).

130641500160 is an abundant number, since it is smaller than the sum of its proper divisors (337422896640).

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

130641500160 is a wasteful number, since it uses less digits than its factorization.

130641500160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 130641500160 its reverse (61005146031), we get a palindrome (191646646191).

The spelling of 130641500160 in words is "one hundred thirty billion, six hundred forty-one million, five hundred thousand, one hundred sixty".