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135871902 = 232232911317
BaseRepresentation
bin10000001100100…
…11110110011110
3100110200000012200
420012103312132
5234240400102
621252112330
73236614665
oct1006236636
9313600180
10135871902
116a772631
12396056a6
13221c339a
141408bddc
15bddd51c
hex8193d9e

135871902 has 48 divisors (see below), whose sum is σ = 317809440. Its totient is φ = 41823936.

The previous prime is 135871891. The next prime is 135871903. The reversal of 135871902 is 209178531.

135871902 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1358719022 = 36922347506195208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135871903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6348 + ... + 17664.

It is an arithmetic number, because the mean of its divisors is an integer number (6621030).

Almost surely, 2135871902 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135871902, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158904720).

135871902 is an abundant number, since it is smaller than the sum of its proper divisors (181937538).

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

135871902 is a wasteful number, since it uses less digits than its factorization.

135871902 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11377 (or 11374 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 135871902 is about 11656.4103393798. The cubic root of 135871902 is about 514.0948085747.

The spelling of 135871902 in words is "one hundred thirty-five million, eight hundred seventy-one thousand, nine hundred two".

Divisors: 1 2 3 6 9 18 23 29 46 58 69 87 138 174 207 261 414 522 667 1334 2001 4002 6003 11317 12006 22634 33951 67902 101853 203706 260291 328193 520582 656386 780873 984579 1561746 1969158 2342619 2953737 4685238 5907474 7548439 15096878 22645317 45290634 67935951 135871902