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135277344252 = 223215124885457
BaseRepresentation
bin111110111111100101…
…0000111010111111100
3110221011201012002222100
41331333022013113330
54204022000004002
6142051234545100
712526204311441
oct1757712072774
9427151162870
10135277344252
1152409596a66
1222274138190
13c9ab32b03b
1467943239c8
1537bb30111c
hex1f7f2875fc

135277344252 has 36 divisors (see below), whose sum is σ = 344215655056. Its totient is φ = 44793820800.

The previous prime is 135277344239. The next prime is 135277344271. The reversal of 135277344252 is 252443772531.

135277344252 is a `hidden beast` number, since 1 + 3 + 52 + 7 + 7 + 344 + 252 = 666.

135277344252 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 135277344198 and 135277344207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12437293 + ... + 12448164.

Almost surely, 2135277344252 is an apocalyptic number.

135277344252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135277344252 is an abundant number, since it is smaller than the sum of its proper divisors (208938310804).

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

135277344252 is a wasteful number, since it uses less digits than its factorization.

135277344252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24885618 (or 24885613 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 135277344252 in words is "one hundred thirty-five billion, two hundred seventy-seven million, three hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 151 302 453 604 906 1359 1812 2718 5436 24885457 49770914 74656371 99541828 149312742 223969113 298625484 447938226 895876452 3757704007 7515408014 11273112021 15030816028 22546224042 33819336063 45092448084 67638672126 135277344252