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134118864 = 243211227373
BaseRepresentation
bin1111111111001…
…11110111010000
3100100100221111100
413333213313100
5233313300424
621150344400
73215664045
oct777476720
9310327440
10134118864
1169785540
1238abb100
1321a2b499
1413b531cc
15bb93dc9
hex7fe7dd0

134118864 has 120 divisors (see below), whose sum is σ = 412375392. Its totient is φ = 40354560.

The previous prime is 134118857. The next prime is 134118917. The reversal of 134118864 is 468811431.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359382 + ... + 359754.

Almost surely, 2134118864 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 134118864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206187696).

134118864 is an abundant number, since it is smaller than the sum of its proper divisors (278256528).

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

134118864 is a wasteful number, since it uses less digits than its factorization.

134118864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 134118864 is about 11580.9699075682. The cubic root of 134118864 is about 511.8742570443.

The spelling of 134118864 in words is "one hundred thirty-four million, one hundred eighteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 227 264 373 396 454 528 681 746 792 908 1119 1362 1492 1584 1816 2043 2238 2497 2724 2984 3357 3632 4086 4103 4476 4994 5448 5968 6714 7491 8172 8206 8952 9988 10896 12309 13428 14982 16344 16412 17904 19976 22473 24618 26856 29964 32688 32824 36927 39952 44946 49236 53712 59928 65648 73854 84671 89892 98472 119856 147708 169342 179784 196944 254013 295416 338684 359568 508026 590832 677368 762039 931381 1016052 1354736 1524078 1862762 2032104 2794143 3048156 3725524 4064208 5588286 6096312 7451048 8382429 11176572 12192624 14902096 16764858 22353144 33529716 44706288 67059432 134118864