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135274168672272 = 243271223109730633
BaseRepresentation
bin11110110000011111111000…
…110001010110000000010000
3122201222002021101212000212100
4132300133320301112000100
5120212312444140003042
61155412032320400400
740331144001553020
oct3660377061260020
9581862241760770
10135274168672272
113a1144a8697153
1213209059476100
135a633b7940536
14255943a13ba80
151098bd17e224c
hex7b07f8c56010

135274168672272 has 120 divisors (see below), whose sum is σ = 433016394355584. Its totient is φ = 38618159703552.

The previous prime is 135274168672211. The next prime is 135274168672273. The reversal of 135274168672272 is 272276861472531.

135274168672272 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 416 + 86 + 72 + 2 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (135274168672273) 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, 53632533 + ... + 56098100.

Almost surely, 2135274168672272 is an apocalyptic number.

135274168672272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135274168672272 is an abundant number, since it is smaller than the sum of its proper divisors (297742225683312).

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

135274168672272 is a wasteful number, since it uses less digits than its factorization.

135274168672272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109731877 (or 109731868 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 135274168672272 in words is "one hundred thirty-five trillion, two hundred seventy-four billion, one hundred sixty-eight million, six hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1223 2446 3669 4892 7338 8561 9784 11007 14676 17122 19568 22014 25683 29352 34244 44028 51366 58704 68488 77049 88056 102732 136976 154098 176112 205464 308196 410928 616392 1232784 109730633 219461266 329191899 438922532 658383798 768114431 877845064 987575697 1316767596 1536228862 1755690128 1975151394 2304343293 2633535192 3072457724 3950302788 4608686586 5267070384 6144915448 6913029879 7900605576 9217373172 12289830896 13826059758 15801211152 18434746344 27652119516 36869492688 55304239032 110608478064 134200564159 268401128318 402601692477 536802256636 805203384954 939403949113 1073604513272 1207805077431 1610406769908 1878807898226 2147209026544 2415610154862 2818211847339 3220813539816 3757615796452 4831220309724 5636423694678 6441627079632 7515231592904 8454635542017 9662440619448 11272847389356 15030463185808 16909271084034 19324881238896 22545694778712 33818542168068 45091389557424 67637084336136 135274168672272