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135406060605 = 32527131109113
BaseRepresentation
bin111111000011011010…
…1001000010000111101
3110221111200101120121200
41332012311020100331
54204302422414410
6142112113450113
712532326344664
oct1760665102075
9427450346550
10135406060605
1152475211512
12222ab270939
13c9cbbb746a
1467a746bddb
1537c77793c0
hex1f86d4843d

135406060605 has 24 divisors (see below), whose sum is σ = 234790560888. Its totient is φ = 72189881856.

The previous prime is 135406060597. The next prime is 135406060631. The reversal of 135406060605 is 506060604531.

135406060605 is a `hidden beast` number, since 1 + 3 + 5 + 40 + 6 + 0 + 6 + 0 + 605 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65960107929 + 69445952676 = 256827^2 + 263526^2 .

It is not a de Polignac number, because 135406060605 - 23 = 135406060597 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 135406060605.

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 23 ways as a sum of consecutive naturals, for example, 432472 + ... + 676641.

It is an arithmetic number, because the mean of its divisors is an integer number (9782940037).

Almost surely, 2135406060605 is an apocalyptic number.

135406060605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135406060605 is a deficient number, since it is larger than the sum of its proper divisors (99384500283).

135406060605 is a wasteful number, since it uses less digits than its factorization.

135406060605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111837 (or 1111834 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135406060605 in words is "one hundred thirty-five billion, four hundred six million, sixty thousand, six hundred five".

Divisors: 1 3 5 9 15 45 2713 8139 13565 24417 40695 122085 1109113 3327339 5545565 9982017 16636695 49910085 3009023569 9027070707 15045117845 27081212121 45135353535 135406060605