1004135188780 has 48 divisors (see below), whose sum is σ = 2118254382720. Its totient is φ = 399831729408.

The previous prime is 1004135188751. The next prime is 1004135188781. The reversal of 1004135188780 is 878815314001.

1004135188780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1004135188780.

It is not an unprimeable number, because it can be changed into a prime (1004135188781) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33176134 + ... + 33206386.

It is an arithmetic number, because the mean of its divisors is an integer number (44130299640).

Almost surely, 2^{1004135188780} is an apocalyptic number.

1004135188780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004135188780 is an abundant number, since it is smaller than the sum of its proper divisors (1114119193940).

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

1004135188780 is a wasteful number, since it uses less digits than its factorization.

1004135188780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37738 (or 37736 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 46.

The spelling of 1004135188780 in words is "one trillion, four billion, one hundred thirty-five million, one hundred eighty-eight thousand, seven hundred eighty".