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134923464 = 233213473067
BaseRepresentation
bin10000000101011…
…00010011001000
3100101212211012100
420002230103020
5234020022324
621215513400
73225554604
oct1002542310
9311784170
10134923464
116a184aa5
1239228860
1321c50790
1413cc2504
15bca24c9
hex80ac4c8

134923464 has 96 divisors (see below), whose sum is σ = 402030720. Its totient is φ = 40618368.

The previous prime is 134923463. The next prime is 134923487. The reversal of 134923464 is 464329431.

It is a happy number.

It is a super-2 number, since 2×1349234642 = 36408682275518592, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 not an unprimeable number, because it can be changed into a prime (134923463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42459 + ... + 45525.

It is an arithmetic number, because the mean of its divisors is an integer number (4187820).

Almost surely, 2134923464 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 134923464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201015360).

134923464 is an abundant number, since it is smaller than the sum of its proper divisors (267107256).

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

134923464 is a wasteful number, since it uses less digits than its factorization.

134923464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3132 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 134923464 is about 11615.6559866415. The cubic root of 134923464 is about 512.8958214406.

The spelling of 134923464 in words is "one hundred thirty-four million, nine hundred twenty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 188 234 282 312 376 423 468 564 611 846 936 1128 1222 1692 1833 2444 3067 3384 3666 4888 5499 6134 7332 9201 10998 12268 14664 18402 21996 24536 27603 36804 39871 43992 55206 73608 79742 110412 119613 144149 159484 220824 239226 288298 318968 358839 432447 478452 576596 717678 864894 956904 1153192 1297341 1435356 1729788 1873937 2594682 2870712 3459576 3747874 5189364 5621811 7495748 10378728 11243622 14991496 16865433 22487244 33730866 44974488 67461732 134923464