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136072034208 = 25321147913873
BaseRepresentation
bin111111010111010000…
…1100111011110100000
3111000020002112112122200
41332232201213132200
54212133420043313
6142302143533200
712554664130665
oct1765641473640
9430202475580
10136072034208
1152787130320
12224562ba200
13caa6b71c96
14682baa9a6c
153815e79b73
hex1fae8677a0

136072034208 has 144 divisors (see below), whose sum is σ = 431114576256. Its totient is φ = 40356587520.

The previous prime is 136072034191. The next prime is 136072034243. The reversal of 136072034208 is 802430270631.

It is a happy number.

136072034208 is a `hidden beast` number, since 1 + 3 + 607 + 2 + 0 + 3 + 42 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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, 308041 + ... + 605832.

It is an arithmetic number, because the mean of its divisors is an integer number (2993851224).

Almost surely, 2136072034208 is an apocalyptic number.

136072034208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136072034208 is an abundant number, since it is smaller than the sum of its proper divisors (295042542048).

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

136072034208 is a wasteful number, since it uses less digits than its factorization.

136072034208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913947 (or 913936 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 136072034208 in words is "one hundred thirty-six billion, seventy-two million, thirty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 1034 1056 1128 1504 1551 1584 1692 2068 2256 3102 3168 3384 4136 4512 4653 6204 6768 8272 9306 12408 13536 16544 18612 24816 37224 49632 74448 148896 913873 1827746 2741619 3655492 5483238 7310984 8224857 10052603 10966476 14621968 16449714 20105206 21932952 29243936 30157809 32899428 40210412 42952031 43865904 60315618 65798856 80420824 85904062 87731808 90473427 120631236 128856093 131597712 160841648 171808124 180946854 241262472 257712186 263195424 321683296 343616248 361893708 386568279 472472341 482524944 515424372 687232496 723787416 773136558 944944682 965049888 1030848744 1374464992 1417417023 1447574832 1546273116 1889889364 2061697488 2834834046 2895149664 3092546232 3779778728 4123394976 4252251069 5669668092 6185092464 7559557456 8504502138 11339336184 12370184928 15119114912 17009004276 22678672368 34018008552 45357344736 68036017104 136072034208