130088540160 has 720 divisors, whose sum is σ = 483119516880. Its totient is φ = 33473986560.

The previous prime is 130088540137. The next prime is 130088540209. The reversal of 130088540160 is 61045880031.

130088540160 is a `hidden beast` number, since 1 + 30 + 0 + 88 + 540 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1832232925 + ... + 1832232995.

It is an arithmetic number, because the mean of its divisors is an integer number (670999329).

Almost surely, 2^130088540160 is an apocalyptic number.

130088540160 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 130088540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241559758440).

130088540160 is an abundant number, since it is smaller than the sum of its proper divisors (353030976720).

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

130088540160 is an frugal number, since it uses more digits than its factorization.

130088540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 130088540160 in words is "one hundred thirty billion, eighty-eight million, five hundred forty thousand, one hundred sixty".