135828916087820 has 48 divisors (see below), whose sum is σ = 302214066009408. Its totient is φ = 51102664765440.

The previous prime is 135828916087819. The next prime is 135828916087829. The reversal of 135828916087820 is 28780619828531.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is not an unprimeable number, because it can be changed into a prime (135828916087829) 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, 128092976 + ... + 129149015.

It is an arithmetic number, because the mean of its divisors is an integer number (6296126375196).

Almost surely, 2^{135828916087820} is an apocalyptic number.

135828916087820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135828916087820 is an abundant number, since it is smaller than the sum of its proper divisors (166385149921588).

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

135828916087820 is a wasteful number, since it uses less digits than its factorization.

135828916087820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257243570 (or 257243568 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 68.

The spelling of 135828916087820 in words is "one hundred thirty-five trillion, eight hundred twenty-eight billion, nine hundred sixteen million, eighty-seven thousand, eight hundred twenty".