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133605136 = 2471192903
BaseRepresentation
bin1111111011010…
…10011100010000
3100022101211210101
413331222130100
5233200331021
621131342144
73211424230
oct775523420
9308354711
10133605136
1169464575
12388b1954
13218ab6c2
1413a5bcc0
15bae1a91
hex7f6a710

133605136 has 20 divisors (see below), whose sum is σ = 295840192. Its totient is φ = 57259296.

The previous prime is 133605107. The next prime is 133605151. The reversal of 133605136 is 631506331.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 596340 + ... + 596563.

Almost surely, 2133605136 is an apocalyptic number.

133605136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133605136 is an abundant number, since it is smaller than the sum of its proper divisors (162235056).

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

133605136 is a wasteful number, since it uses less digits than its factorization.

133605136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192918 (or 1192912 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 133605136 is about 11558.7687925661. The cubic root of 133605136 is about 511.2198608895.

It can be divided in two parts, 13360 and 5136, that added together give a square (18496 = 1362).

The spelling of 133605136 in words is "one hundred thirty-three million, six hundred five thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 1192903 2385806 4771612 8350321 9543224 16700642 19086448 33401284 66802568 133605136