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134775072 = 25324310883
BaseRepresentation
bin10000000100010…
…00000100100000
3100101121021122100
420002020010200
5234000300242
621212410400
73224366145
oct1002100440
9311537570
10134775072
116a093563
1239176a00
1321bcb083
1413c843cc
15bc7354c
hex8088120

134775072 has 72 divisors (see below), whose sum is σ = 392215824. Its totient is φ = 43876224.

The previous prime is 134775061. The next prime is 134775089. The reversal of 134775072 is 270577431.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6943 + ... + 17825.

It is an arithmetic number, because the mean of its divisors is an integer number (5447442).

Almost surely, 2134775072 is an apocalyptic number.

134775072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134775072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196107912).

134775072 is an abundant number, since it is smaller than the sum of its proper divisors (257440752).

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

134775072 is a wasteful number, since it uses less digits than its factorization.

134775072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10942 (or 10931 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 134775072 is about 11609.2666435051. The cubic root of 134775072 is about 512.7077208342.

The spelling of 134775072 in words is "one hundred thirty-four million, seven hundred seventy-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 144 172 258 288 344 387 516 688 774 1032 1376 1548 2064 3096 4128 6192 10883 12384 21766 32649 43532 65298 87064 97947 130596 174128 195894 261192 348256 391788 467969 522384 783576 935938 1044768 1403907 1567152 1871876 2807814 3134304 3743752 4211721 5615628 7487504 8423442 11231256 14975008 16846884 22462512 33693768 44925024 67387536 134775072