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135718704 = 243211471823
BaseRepresentation
bin10000001011011…
…10011100110000
3100110101020001200
420011232130300
5234220444304
621244531200
73235406232
oct1005563460
9313336050
10135718704
116a678520
1239550b00
132216b734
141404c252
15bdace39
hex816e730

135718704 has 120 divisors (see below), whose sum is σ = 423401472. Its totient is φ = 40229760.

The previous prime is 135718669. The next prime is 135718711. The reversal of 135718704 is 407817531.

135718704 is a `hidden beast` number, since 1 + 3 + 571 + 87 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73537 + ... + 75359.

Almost surely, 2135718704 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 135718704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211700736).

135718704 is an abundant number, since it is smaller than the sum of its proper divisors (287682768).

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

135718704 is a wasteful number, since it uses less digits than its factorization.

135718704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 135718704 is about 11649.8370804059. The cubic root of 135718704 is about 513.9015188797.

The spelling of 135718704 in words is "one hundred thirty-five million, seven hundred eighteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 47 48 66 72 88 94 99 132 141 144 176 188 198 264 282 376 396 423 517 528 564 752 792 846 1034 1128 1551 1584 1692 1823 2068 2256 3102 3384 3646 4136 4653 5469 6204 6768 7292 8272 9306 10938 12408 14584 16407 18612 20053 21876 24816 29168 32814 37224 40106 43752 60159 65628 74448 80212 85681 87504 120318 131256 160424 171362 180477 240636 257043 262512 320848 342724 360954 481272 514086 685448 721908 771129 942491 962544 1028172 1370896 1443816 1542258 1884982 2056344 2827473 2887632 3084516 3769964 4112688 5654946 6169032 7539928 8482419 11309892 12338064 15079856 16964838 22619784 33929676 45239568 67859352 135718704