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135756915012 = 223219719142261
BaseRepresentation
bin111111001101110111…
…1100010000101000100
3110222102010120211101100
41332123233202011010
54211012232240022
6142211005500100
712544116511065
oct1763357420504
9428363524340
10135756915012
115263526a634
1222388871630
13ca567ac514
1467dbcbc56c
1537e84811ac
hex1f9bbe2144

135756915012 has 36 divisors (see below), whose sum is σ = 344905276716. Its totient is φ = 45022595520.

The previous prime is 135756914959. The next prime is 135756915059. The reversal of 135756915012 is 210519657531.

135756915012 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 56 + 91 + 501 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 127487558916 + 8269356096 = 357054^2 + 90936^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9564039 + ... + 9578222.

It is an arithmetic number, because the mean of its divisors is an integer number (9580702131).

Almost surely, 2135756915012 is an apocalyptic number.

135756915012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135756915012 is an abundant number, since it is smaller than the sum of its proper divisors (209148361704).

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

135756915012 is a wasteful number, since it uses less digits than its factorization.

135756915012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19142468 (or 19142463 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 45.

The spelling of 135756915012 in words is "one hundred thirty-five billion, seven hundred fifty-six million, nine hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 591 788 1182 1773 2364 3546 7092 19142261 38284522 57426783 76569044 114853566 172280349 229707132 344560698 689121396 3771025417 7542050834 11313076251 15084101668 22626152502 33939228753 45252305004 67878457506 135756915012