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134941464 = 2334771419
BaseRepresentation
bin10000000101100…
…00101100011000
3100101220201220000
420002300230120
5234021111324
621220133000
73225661230
oct1002605430
9311821800
10134941464
116a197579
1239237160
1321c58a28
1413cc8cc0
15bca79c9
hex80b0b18

134941464 has 160 divisors (see below), whose sum is σ = 439084800. Its totient is φ = 37920960.

The previous prime is 134941459. The next prime is 134941487. The reversal of 134941464 is 464149431.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 321847 + ... + 322265.

It is an arithmetic number, because the mean of its divisors is an integer number (2744280).

Almost surely, 2134941464 is an apocalyptic number.

134941464 is a gapful number since it is divisible by the number (14) 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 134941464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219542400).

134941464 is an abundant number, since it is smaller than the sum of its proper divisors (304143336).

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

134941464 is a wasteful number, since it uses less digits than its factorization.

134941464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 502 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 134941464 is about 11616.4307771363. The cubic root of 134941464 is about 512.9186287270.

The spelling of 134941464 in words is "one hundred thirty-four million, nine hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 81 84 108 126 142 162 168 189 213 216 252 284 324 378 419 426 497 504 567 568 639 648 756 838 852 994 1134 1257 1278 1491 1512 1676 1704 1917 1988 2268 2514 2556 2933 2982 3352 3771 3834 3976 4473 4536 5028 5112 5751 5866 5964 7542 7668 8799 8946 10056 11313 11502 11732 11928 13419 15084 15336 17598 17892 22626 23004 23464 26397 26838 29749 30168 33939 35196 35784 40257 45252 46008 52794 53676 59498 67878 70392 79191 80514 89247 90504 105588 107352 118996 135756 158382 161028 178494 208243 211176 237573 237992 267741 271512 316764 322056 356988 416486 475146 535482 624729 633528 713976 803223 832972 950292 1070964 1249458 1606446 1665944 1874187 1900584 2141928 2409669 2498916 3212892 3748374 4819338 4997832 5622561 6425784 7496748 9638676 11245122 14993496 16867683 19277352 22490244 33735366 44980488 67470732 134941464