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135193044 = 22371725569
BaseRepresentation
bin10000000111011…
…10000111010100
3100102101111222210
420003232013110
5234102134134
621225353420
73231056550
oct1003560724
9312344883
10135193044
116a349598
1239338870
13220163ac
1413d52860
15bd072e9
hex80ee1d4

135193044 has 72 divisors (see below), whose sum is σ = 383037760. Its totient is φ = 36347904.

The previous prime is 135193043. The next prime is 135193049. The reversal of 135193044 is 440391531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135193043) 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, 21492 + ... + 27060.

Almost surely, 2135193044 is an apocalyptic number.

135193044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135193044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191518880).

135193044 is an abundant number, since it is smaller than the sum of its proper divisors (247844716).

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

135193044 is a wasteful number, since it uses less digits than its factorization.

135193044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5617 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 135193044 is about 11627.2543620581. The cubic root of 135193044 is about 513.2371865056.

It can be divided in two parts, 1351 and 93044, that added together give a triangular number (94395 = T434).

The spelling of 135193044 in words is "one hundred thirty-five million, one hundred ninety-three thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 289 357 476 578 714 867 1156 1428 1734 2023 3468 4046 5569 6069 8092 11138 12138 16707 22276 24276 33414 38983 66828 77966 94673 116949 155932 189346 233898 284019 378692 467796 568038 662711 1136076 1325422 1609441 1988133 2650844 3218882 3976266 4828323 6437764 7952532 9656646 11266087 19313292 22532174 33798261 45064348 67596522 135193044