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135195936 = 2533833677
BaseRepresentation
bin10000000111011…
…10110100100000
3100102101122221220
420003232310200
5234102232221
621225415040
73231101151
oct1003566440
9312348856
10135195936
116a350787
123933a480
13220177c5
1413d53928
15bd080c6
hex80eed20

135195936 has 48 divisors (see below), whose sum is σ = 355912704. Its totient is φ = 44935424.

The previous prime is 135195919. The next prime is 135195943. The reversal of 135195936 is 639591531.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1351959362 = 36555882221832192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 34930 + ... + 38606.

It is an arithmetic number, because the mean of its divisors is an integer number (7414848).

Almost surely, 2135195936 is an apocalyptic number.

135195936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135195936 is an abundant number, since it is smaller than the sum of its proper divisors (220716768).

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

135195936 is a wasteful number, since it uses less digits than its factorization.

135195936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073 (or 4065 counting only the distinct ones).

The product of its digits is 109350, while the sum is 42.

The square root of 135195936 is about 11627.3787243729. The cubic root of 135195936 is about 513.2408461400.

The spelling of 135195936 in words is "one hundred thirty-five million, one hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 383 766 1149 1532 2298 3064 3677 4596 6128 7354 9192 11031 12256 14708 18384 22062 29416 36768 44124 58832 88248 117664 176496 352992 1408291 2816582 4224873 5633164 8449746 11266328 16899492 22532656 33798984 45065312 67597968 135195936