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134745144 = 23343592213
BaseRepresentation
bin10000000100000…
…00110000111000
3100101112202120220
420002000300320
5233443321034
621212020040
73224212662
oct1002006070
9311482526
10134745144
116a073026
1239161620
1321bba571
1413c77532
15bc69749
hex8080c38

134745144 has 64 divisors (see below), whose sum is σ = 350697600. Its totient is φ = 43107456.

The previous prime is 134745139. The next prime is 134745167. The reversal of 134745144 is 441547431.

134745144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59782 + ... + 61994.

It is an arithmetic number, because the mean of its divisors is an integer number (5479650).

Almost surely, 2134745144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134745144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175348800).

134745144 is an abundant number, since it is smaller than the sum of its proper divisors (215952456).

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

134745144 is a wasteful number, since it uses less digits than its factorization.

134745144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2320 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 134745144 is about 11607.9776016324. The cubic root of 134745144 is about 512.6697675926.

The spelling of 134745144 in words is "one hundred thirty-four million, seven hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 43 59 86 118 129 172 177 236 258 344 354 472 516 708 1032 1416 2213 2537 4426 5074 6639 7611 8852 10148 13278 15222 17704 20296 26556 30444 53112 60888 95159 130567 190318 261134 285477 380636 391701 522268 570954 761272 783402 1044536 1141908 1566804 2283816 3133608 5614381 11228762 16843143 22457524 33686286 44915048 67372572 134745144