Search a number
-
+
134126064 = 24332313499
BaseRepresentation
bin1111111111010…
…01100111110000
3100100101022101000
413333221213300
5233314013224
621150442000
73216024042
oct777514760
9310338330
10134126064
116978a996
1238b03300
1321a31847
1413b55a92
15bb960c9
hex7fe99f0

134126064 has 80 divisors (see below), whose sum is σ = 401760000. Its totient is φ = 42761664.

The previous prime is 134126063. The next prime is 134126089. The reversal of 134126064 is 460621431.

134126064 is a `hidden beast` number, since 1 + 341 + 260 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134126063) 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, 3187 + ... + 16685.

It is an arithmetic number, because the mean of its divisors is an integer number (5022000).

Almost surely, 2134126064 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 134126064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200880000).

134126064 is an abundant number, since it is smaller than the sum of its proper divisors (267633936).

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

134126064 is a wasteful number, since it uses less digits than its factorization.

134126064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13539 (or 13527 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134126064 is about 11581.2807581891. The cubic root of 134126064 is about 511.8834166524.

Adding to 134126064 its reverse (460621431), we get a palindrome (594747495).

The spelling of 134126064 in words is "one hundred thirty-four million, one hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 13499 26998 40497 53996 80994 107992 121491 161988 215984 242982 310477 323976 364473 485964 620954 647952 728946 931431 971928 1241908 1457892 1862862 1943856 2483816 2794293 2915784 3725724 4967632 5588586 5831568 7451448 8382879 11177172 14902896 16765758 22354344 33531516 44708688 67063032 134126064