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135004116 = 223134718413
BaseRepresentation
bin10000000101111…
…11111111010100
3100102000220211110
420002333333110
5234030112431
621221335020
73226342002
oct1002777724
9312026743
10135004116
116a22a655
1239267470
1321c7b3c0
1413d03a72
15bcbb346
hex80bffd4

135004116 has 48 divisors (see below), whose sum is σ = 346477824. Its totient is φ = 40653696.

The previous prime is 135004109. The next prime is 135004141. The reversal of 135004116 is 611400531.

It is a super-2 number, since 2×1350041162 = 36452222673882912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135004092 and 135004101.

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, 1875 + ... + 16538.

It is an arithmetic number, because the mean of its divisors is an integer number (7218288).

Almost surely, 2135004116 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 135004116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173238912).

135004116 is an abundant number, since it is smaller than the sum of its proper divisors (211473708).

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

135004116 is a wasteful number, since it uses less digits than its factorization.

135004116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18480 (or 18478 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 135004116 is about 11619.1271617106. The cubic root of 135004116 is about 512.9979974767.

Adding to 135004116 its reverse (611400531), we get a palindrome (746404647).

The spelling of 135004116 in words is "one hundred thirty-five million, four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 18413 36826 55239 73652 110478 220956 239369 478738 718107 865411 957476 1436214 1730822 2596233 2872428 3461644 5192466 10384932 11250343 22500686 33751029 45001372 67502058 135004116