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136055142 = 23237281727
BaseRepresentation
bin10000001110000…
…00100101100110
3100111000022120100
420013000211212
5234312231032
621300044530
73241310136
oct1007004546
9314008510
10136055142
116a888273
1239693746
1322258902
14140d8ac6
15be2797c
hex81c0966

136055142 has 48 divisors (see below), whose sum is σ = 304248672. Its totient is φ = 43908480.

The previous prime is 136055123. The next prime is 136055147. The reversal of 136055142 is 241550631.

136055142 is a `hidden beast` number, since 1 + 3 + 605 + 51 + 4 + 2 = 666.

It is a super-2 number, since 2×1360551422 = 37022003329280328, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136055147) 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, 186783 + ... + 187509.

It is an arithmetic number, because the mean of its divisors is an integer number (6338514).

Almost surely, 2136055142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136055142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152124336).

136055142 is an abundant number, since it is smaller than the sum of its proper divisors (168193530).

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

136055142 is a wasteful number, since it uses less digits than its factorization.

136055142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 136055142 is about 11664.2677438406. The cubic root of 136055142 is about 514.3258114901.

The spelling of 136055142 in words is "one hundred thirty-six million, fifty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 281 333 562 666 727 843 1454 1686 2181 2529 4362 5058 6543 10397 13086 20794 26899 31191 53798 62382 80697 93573 161394 187146 204287 242091 408574 484182 612861 1225722 1838583 3677166 7558619 15117238 22675857 45351714 68027571 136055142