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134063136 = 25322337547
BaseRepresentation
bin1111111110110…
…10010000100000
3100100021010001100
413333122100200
5233310010021
621145234400
73215342424
oct777322040
9310233040
10134063136
1169747689
1238a92a00
1321a0bccc
1413b3ab84
15bb82626
hex7fda420

134063136 has 144 divisors (see below), whose sum is σ = 409316544. Its totient is φ = 41513472.

The previous prime is 134063117. The next prime is 134063141. The reversal of 134063136 is 631360431.

134063136 is a `hidden beast` number, since 1 + 340 + 6 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244815 + ... + 245361.

It is an arithmetic number, because the mean of its divisors is an integer number (2842476).

Almost surely, 2134063136 is an apocalyptic number.

134063136 is a gapful number since it is divisible by the number (16) 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 134063136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204658272).

134063136 is an abundant number, since it is smaller than the sum of its proper divisors (275253408).

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

134063136 is a wasteful number, since it uses less digits than its factorization.

134063136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 134063136 is about 11578.5636414885. The cubic root of 134063136 is about 511.8033505872.

The spelling of 134063136 in words is "one hundred thirty-four million, sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 69 72 74 92 96 111 138 144 148 184 207 222 276 288 296 333 368 414 444 547 552 592 666 736 828 851 888 1094 1104 1184 1332 1641 1656 1702 1776 2188 2208 2553 2664 3282 3312 3404 3552 4376 4923 5106 5328 6564 6624 6808 7659 8752 9846 10212 10656 12581 13128 13616 15318 17504 19692 20239 20424 25162 26256 27232 30636 37743 39384 40478 40848 50324 52512 60717 61272 75486 78768 80956 81696 100648 113229 121434 122544 150972 157536 161912 182151 201296 226458 242868 245088 301944 323824 364302 402592 452916 465497 485736 603888 647648 728604 905832 930994 971472 1207776 1396491 1457208 1811664 1861988 1942944 2792982 2914416 3623328 3723976 4189473 5585964 5828832 7447952 8378946 11171928 14895904 16757892 22343856 33515784 44687712 67031568 134063136