130754074414000 has 320 divisors, whose sum is σ = 339872857459200. Its totient is φ = 48476633088000.

The previous prime is 130754074413979. The next prime is 130754074414037. The reversal of 130754074414000 is 414470457031.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1044791430 + ... + 1044916570.

It is an arithmetic number, because the mean of its divisors is an integer number (1062102679560).

Almost surely, 2^{130754074414000} is an apocalyptic number.

130754074414000 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 130754074414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169936428729600).

130754074414000 is an abundant number, since it is smaller than the sum of its proper divisors (209118783045200).

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

130754074414000 is a wasteful number, since it uses less digits than its factorization.

130754074414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125649 (or 125633 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The spelling of 130754074414000 in words is "one hundred thirty trillion, seven hundred fifty-four billion, seventy-four million, four hundred fourteen thousand".