135765004574100 has 144 divisors (see below), whose sum is σ = 428533222118400. Its totient is φ = 32911998844800.

The previous prime is 135765004574077. The next prime is 135765004574123. The reversal of 135765004574100 is 1475400567531.

135765004574100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135765004574077) and next prime (135765004574123).

It is a self number, because there is not a number n which added to its sum of digits gives 135765004574100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156644539 + ... + 157508861.

It is an arithmetic number, because the mean of its divisors is an integer number (2975925153600).

Almost surely, 2^{135765004574100} is an apocalyptic number.

135765004574100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135765004574100 is an abundant number, since it is smaller than the sum of its proper divisors (292768217544300).

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

135765004574100 is a wasteful number, since it uses less digits than its factorization.

135765004574100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911950 (or 911943 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 135765004574100 in words is "one hundred thirty-five trillion, seven hundred sixty-five billion, four million, five hundred seventy-four thousand, one hundred".