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152728134 = 23133183761
BaseRepresentation
bin10010001101001…
…11001001000110
3101122101101121120
421012213021012
5303044300014
623053254410
73533111346
oct1106471106
9348341546
10152728134
11792359a9
1243194406
13258458a0
14163d8d26
15d61cba9
hex91a7246

152728134 has 64 divisors (see below), whose sum is σ = 344107008. Its totient is φ = 44870400.

The previous prime is 152728127. The next prime is 152728159. The reversal of 152728134 is 431827251.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 152728095 and 152728104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200314 + ... + 201074.

It is an arithmetic number, because the mean of its divisors is an integer number (5376672).

Almost surely, 2152728134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152728134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172053504).

152728134 is an abundant number, since it is smaller than the sum of its proper divisors (191378874).

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

152728134 is a wasteful number, since it uses less digits than its factorization.

152728134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893.

The product of its digits is 13440, while the sum is 33.

The square root of 152728134 is about 12358.3224589748. The cubic root of 152728134 is about 534.5311454095.

The spelling of 152728134 in words is "one hundred fifty-two million, seven hundred twenty-eight thousand, one hundred thirty-four".

Divisors: 1 2 3 6 13 26 31 39 62 78 83 93 166 186 249 403 498 761 806 1079 1209 1522 2158 2283 2418 2573 3237 4566 5146 6474 7719 9893 15438 19786 23591 29679 33449 47182 59358 63163 66898 70773 100347 126326 141546 189489 200694 306683 378978 613366 821119 920049 1642238 1840098 1958053 2463357 3916106 4926714 5874159 11748318 25454689 50909378 76364067 152728134