135056505645 has 48 divisors (see below), whose sum is σ = 237079507392. Its totient is φ = 71113916160.

The previous prime is 135056505613. The next prime is 135056505653. The reversal of 135056505645 is 546505650531.

135056505645 is a `hidden beast` number, since 1 + 3 + 50 + 56 + 505 + 6 + 45 = 666.

It is not a de Polignac number, because 135056505645 - 2⁵ = 135056505613 is a prime.

It is a super-3 number, since 3×135056505645³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135056505645.

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, 5856177 + ... + 5879193.

It is an arithmetic number, because the mean of its divisors is an integer number (4939156404).

Almost surely, 2^135056505645 is an apocalyptic number.

135056505645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135056505645 is a deficient number, since it is larger than the sum of its proper divisors (102023001747).

135056505645 is a wasteful number, since it uses less digits than its factorization.

135056505645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24682 (or 24679 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 135056505645 in words is "one hundred thirty-five billion, fifty-six million, five hundred five thousand, six hundred forty-five".