135626267872560 has 40 divisors (see below), whose sum is σ = 420441430405680. Its totient is φ = 36167004765952.

The previous prime is 135626267872541. The next prime is 135626267872561. The reversal of 135626267872560 is 65278762626531.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 135626267872491 and 135626267872500.

It is not an unprimeable number, because it can be changed into a prime (135626267872561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282554724495 + ... + 282554724974.

It is an arithmetic number, because the mean of its divisors is an integer number (10511035760142).

Almost surely, 2^{135626267872560} is an apocalyptic number.

135626267872560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135626267872560 is an abundant number, since it is smaller than the sum of its proper divisors (284815162533120).

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

135626267872560 is a wasteful number, since it uses less digits than its factorization.

135626267872560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565109449485 (or 565109449479 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 66.

The spelling of 135626267872560 in words is "one hundred thirty-five trillion, six hundred twenty-six billion, two hundred sixty-seven million, eight hundred seventy-two thousand, five hundred sixty".