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134133076 = 227112711607
BaseRepresentation
bin1111111111010…
…11010101010100
3100100101122222201
413333223111110
5233314224301
621150534244
73216053350
oct777532524
9310348881
10134133076
1169795190
1238b07384
1321a34aac
1413b58460
15bb98201
hex7feb554

134133076 has 48 divisors (see below), whose sum is σ = 293916672. Its totient is φ = 52034400.

The previous prime is 134133071. The next prime is 134133101. The reversal of 134133076 is 670331431.

It is a happy number.

134133076 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134133071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82665 + ... + 84271.

It is an arithmetic number, because the mean of its divisors is an integer number (6123264).

Almost surely, 2134133076 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 134133076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146958336).

134133076 is an abundant number, since it is smaller than the sum of its proper divisors (159783596).

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

134133076 is a wasteful number, since it uses less digits than its factorization.

134133076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1900 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 134133076 is about 11581.5834841355. The cubic root of 134133076 is about 511.8923367779.

It can be divided in two parts, 13 and 4133076, that added together give a square (4133089 = 20332).

The spelling of 134133076 in words is "one hundred thirty-four million, one hundred thirty-three thousand, seventy-six".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 271 308 542 1084 1607 1897 2981 3214 3794 5962 6428 7588 11249 11924 17677 20867 22498 35354 41734 44996 70708 83468 123739 247478 435497 494956 870994 1741988 3048479 4790467 6096958 9580934 12193916 19161868 33533269 67066538 134133076