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135789160 = 235132231171
BaseRepresentation
bin10000001011111…
…11101001101000
3100110111210201011
420011333221220
5234230223120
621250233304
73236121523
oct1005775150
9313453634
10135789160
116a716451
1239585834
1322194820
1414069bba
15bdc3c5a
hex817fa68

135789160 has 64 divisors (see below), whose sum is σ = 330785280. Its totient is φ = 49870080.

The previous prime is 135789151. The next prime is 135789179. The reversal of 135789160 is 61987531.

135789160 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 (40).

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, 115375 + ... + 116545.

It is an arithmetic number, because the mean of its divisors is an integer number (5168520).

Almost surely, 2135789160 is an apocalyptic number.

135789160 is a gapful number since it is divisible by the number (10) 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 135789160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165392640).

135789160 is an abundant number, since it is smaller than the sum of its proper divisors (194996120).

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

135789160 is a wasteful number, since it uses less digits than its factorization.

135789160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 40.

The square root of 135789160 is about 11652.8605930046. The cubic root of 135789160 is about 513.9904311683.

The spelling of 135789160 in words is "one hundred thirty-five million, seven hundred eighty-nine thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 223 260 446 520 892 1115 1171 1784 2230 2342 2899 4460 4684 5798 5855 8920 9368 11596 11710 14495 15223 23192 23420 28990 30446 46840 57980 60892 76115 115960 121784 152230 261133 304460 522266 608920 1044532 1305665 2089064 2611330 3394729 5222660 6789458 10445320 13578916 16973645 27157832 33947290 67894580 135789160