130970790720 has 1344 divisors, whose sum is σ = 607673664000. Its totient is φ = 25577717760.

The previous prime is 130970790719. The next prime is 130970790721. The reversal of 130970790720 is 27097079031.

It is an interprime number because it is at equal distance from previous prime (130970790719) and next prime (130970790721).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130970790721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 184725726 + ... + 184726434.

Almost surely, 2^130970790720 is an apocalyptic number.

130970790720 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 130970790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303836832000).

130970790720 is an abundant number, since it is smaller than the sum of its proper divisors (476702873280).

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

130970790720 is a wasteful number, since it uses less digits than its factorization.

130970790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The spelling of 130970790720 in words is "one hundred thirty billion, nine hundred seventy million, seven hundred ninety thousand, seven hundred twenty".