135772066356 has 96 divisors (see below), whose sum is σ = 330017587200. Its totient is φ = 43397880960.

The previous prime is 135772066349. The next prime is 135772066369. The reversal of 135772066356 is 653660277531.

It is a junction number, because it is equal to n+sod(n) for n = 135772066299 and 135772066308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19506805 + ... + 19513763.

It is an arithmetic number, because the mean of its divisors is an integer number (3437683200).

Almost surely, 2^135772066356 is an apocalyptic number.

It is an amenable number.

135772066356 is an abundant number, since it is smaller than the sum of its proper divisors (194245520844).

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

135772066356 is a wasteful number, since it uses less digits than its factorization.

135772066356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7469 (or 7467 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The spelling of 135772066356 in words is "one hundred thirty-five billion, seven hundred seventy-two million, sixty-six thousand, three hundred fifty-six".