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135877104 = 24321185781
BaseRepresentation
bin10000001100101…
…01000111110000
3100110200021100100
420012111013300
5234241031404
621252152400
73236636106
oct1006250760
9313607310
10135877104
116a776530
1239608700
13221c586c
141408dc76
15bdded39
hex81951f0

135877104 has 60 divisors (see below), whose sum is σ = 414841752. Its totient is φ = 41174400.

The previous prime is 135877103. The next prime is 135877121. The reversal of 135877104 is 401778531.

135877104 is a `hidden beast` number, since 1 + 3 + 587 + 71 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135877103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41307 + ... + 44474.

Almost surely, 2135877104 is an apocalyptic number.

It is an amenable number.

135877104 is an abundant number, since it is smaller than the sum of its proper divisors (278964648).

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

135877104 is a wasteful number, since it uses less digits than its factorization.

135877104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85806 (or 85797 counting only the distinct ones).

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

The square root of 135877104 is about 11656.6334762658. The cubic root of 135877104 is about 514.1013693795.

It can be divided in two parts, 135877 and 104, that added together give a triangular number (135981 = T521).

The spelling of 135877104 in words is "one hundred thirty-five million, eight hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1584 85781 171562 257343 343124 514686 686248 772029 943591 1029372 1372496 1544058 1887182 2058744 2830773 3088116 3774364 4117488 5661546 6176232 7548728 8492319 11323092 12352464 15097456 16984638 22646184 33969276 45292368 67938552 135877104