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135429112 = 23713199791
BaseRepresentation
bin10000001001001…
…11101111111000
3100102211111211001
420010213233320
5234132212422
621234414344
73233062030
oct1004475770
9312744731
10135429112
116a49a995
12394313b4
1322099990
1413db48c0
15bd52227
hex8127bf8

135429112 has 64 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 50751360.

The previous prime is 135429053. The next prime is 135429127. The reversal of 135429112 is 211924531.

135429112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8937 + ... + 18727.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2135429112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135429112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

135429112 is an abundant number, since it is smaller than the sum of its proper divisors (193582088).

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

135429112 is a wasteful number, since it uses less digits than its factorization.

135429112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9836 (or 9832 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 135429112 is about 11637.4014281540. The cubic root of 135429112 is about 513.5357433449.

The spelling of 135429112 in words is "one hundred thirty-five million, four hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 6916 9791 13832 19582 39164 68537 78328 127283 137074 186029 254566 274148 372058 509132 548296 744116 890981 1018264 1302203 1488232 1781962 2418377 2604406 3563924 4836754 5208812 7127848 9673508 10417624 16928639 19347016 33857278 67714556 135429112