130777758000 has 480 divisors, whose sum is σ = 472158797760. Its totient is φ = 33711206400.

The previous prime is 130777757993. The next prime is 130777758031. The reversal of 130777758000 is 857777031.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119213452 + ... + 119214548.

It is an arithmetic number, because the mean of its divisors is an integer number (983664162).

Almost surely, 2^130777758000 is an apocalyptic number.

130777758000 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 130777758000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236079398880).

130777758000 is an abundant number, since it is smaller than the sum of its proper divisors (341381039760).

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

130777758000 is a wasteful number, since it uses less digits than its factorization.

130777758000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 130777758000 in words is "one hundred thirty billion, seven hundred seventy-seven million, seven hundred fifty-eight thousand".