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135406801485 = 32519315590881
BaseRepresentation
bin111111000011011011…
…1111101001001001101
3110221111201210012220200
41332012313331021031
54204303120121420
6142112141404113
712532335551664
oct1760667751115
9427451705820
10135406801485
115247567810a
12222ab569639
13c9cc0b6757
1467a75c1ddb
1537c7873b90
hex1f86dfd24d

135406801485 has 24 divisors (see below), whose sum is σ = 235921226424. Its totient is φ = 71842775040.

The previous prime is 135406801477. The next prime is 135406801487. The reversal of 135406801485 is 584108604531.

135406801485 is a `hidden beast` number, since 1 + 3 + 540 + 68 + 0 + 1 + 48 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7290768996 + 128116032489 = 85386^2 + 357933^2 .

It is not a de Polignac number, because 135406801485 - 23 = 135406801477 is a prime.

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 135406801485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135406801487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7786756 + ... + 7804125.

It is an arithmetic number, because the mean of its divisors is an integer number (9830051101).

Almost surely, 2135406801485 is an apocalyptic number.

135406801485 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135406801485 is a deficient number, since it is larger than the sum of its proper divisors (100514424939).

135406801485 is a wasteful number, since it uses less digits than its factorization.

135406801485 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15591085 (or 15591082 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 135406801485 in words is "one hundred thirty-five billion, four hundred six million, eight hundred one thousand, four hundred eighty-five".

Divisors: 1 3 5 9 15 45 193 579 965 1737 2895 8685 15590881 46772643 77954405 140317929 233863215 701589645 3009040033 9027120099 15045200165 27081360297 45135600495 135406801485