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136825605 = 3457172167
BaseRepresentation
bin10000010011111…
…00101100000101
3100112110110110000
420021330230011
5240011404410
621324351513
73250666320
oct1011745405
9315413400
10136825605
1170264114
12399a5599
13224684c7
14142597b7
15c02adc0
hex827cb05

136825605 has 120 divisors (see below), whose sum is σ = 299553408. Its totient is φ = 58516992.

The previous prime is 136825589. The next prime is 136825607. The reversal of 136825605 is 506528631.

136825605 is a `hidden beast` number, since 13 + 6 + 82 + 560 + 5 = 666.

It is not a de Polignac number, because 136825605 - 24 = 136825589 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 136825605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136825607) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 819232 + ... + 819398.

Almost surely, 2136825605 is an apocalyptic number.

136825605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136825605 is an abundant number, since it is smaller than the sum of its proper divisors (162727803).

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

136825605 is a wasteful number, since it uses less digits than its factorization.

136825605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 136825605 is about 11697.2477532110. The cubic root of 136825605 is about 515.2948385558.

The spelling of 136825605 in words is "one hundred thirty-six million, eight hundred twenty-five thousand, six hundred five".

Divisors: 1 3 5 7 9 15 17 21 27 35 45 51 63 81 85 105 119 135 153 167 189 255 289 315 357 405 459 501 567 595 765 835 867 945 1071 1169 1377 1445 1503 1785 2023 2295 2505 2601 2835 2839 3213 3507 4335 4509 5355 5845 6069 6885 7515 7803 8517 9639 10115 10521 13005 13527 14195 16065 17535 18207 19873 22545 23409 25551 30345 31563 39015 42585 48195 48263 52605 54621 59619 67635 76653 91035 94689 99365 117045 127755 144789 157815 163863 178857 229959 241315 273105 298095 337841 383265 434367 473445 536571 723945 819315 894285 1013523 1149795 1303101 1609713 1689205 2171835 2682855 3040569 3909303 5067615 6515505 8048565 9121707 15202845 19546515 27365121 45608535 136825605