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135867375 = 3753771
BaseRepresentation
bin10000001100100…
…10101111101111
3100110122210000000
420012102233233
5234240224000
621252035343
73236565540
oct1006225757
9313583000
10135867375
116a76a196
1239602b53
13221c12c7
141408a4c7
15bddc000
hex8192bef

135867375 has 128 divisors (see below), whose sum is σ = 294727680. Its totient is φ = 61236000.

The previous prime is 135867373. The next prime is 135867377. The reversal of 135867375 is 573768531.

It is an interprime number because it is at equal distance from previous prime (135867373) and next prime (135867377).

It is not a de Polignac number, because 135867375 - 21 = 135867373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135867375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135867373) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1913590 + ... + 1913660.

It is an arithmetic number, because the mean of its divisors is an integer number (2302560).

Almost surely, 2135867375 is an apocalyptic number.

135867375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135867375 is an abundant number, since it is smaller than the sum of its proper divisors (158860305).

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

135867375 is an frugal number, since it uses more digits than its factorization.

135867375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 86 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 135867375 is about 11656.2161527659. The cubic root of 135867375 is about 514.0890989492.

The spelling of 135867375 in words is "one hundred thirty-five million, eight hundred sixty-seven thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 71 75 81 105 125 135 175 189 213 225 243 315 355 375 405 497 525 567 639 675 729 875 945 1065 1125 1215 1491 1575 1701 1775 1917 2025 2187 2485 2625 2835 3195 3375 3645 4473 4725 5103 5325 5751 6075 7455 7875 8505 8875 9585 10125 10935 12425 13419 14175 15309 15975 17253 18225 22365 23625 25515 26625 28755 30375 37275 40257 42525 47925 51759 54675 62125 67095 70875 76545 79875 86265 91125 111825 120771 127575 143775 155277 186375 201285 212625 239625 258795 273375 335475 362313 382725 431325 559125 603855 637875 718875 776385 1006425 1086939 1293975 1677375 1811565 1913625 2156625 3019275 3881925 5032125 5434695 6469875 9057825 15096375 19409625 27173475 45289125 135867375