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134077464 = 2333472281
BaseRepresentation
bin1111111110111…
…01110000011000
3100100021211201000
413333131300120
5233310434324
621145425000
73215432253
oct777356030
9310254630
10134077464
1169757424
1238a9b160
1321a156a1
1413b4209a
15bb869c9
hex7fddc18

134077464 has 96 divisors (see below), whose sum is σ = 381884400. Its totient is φ = 43585920.

The previous prime is 134077459. The next prime is 134077477. The reversal of 134077464 is 464770431.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477004 + ... + 477284.

Almost surely, 2134077464 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 134077464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190942200).

134077464 is an abundant number, since it is smaller than the sum of its proper divisors (247806936).

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

134077464 is a wasteful number, since it uses less digits than its factorization.

134077464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 134077464 is about 11579.1823545534. The cubic root of 134077464 is about 511.8215829350.

The spelling of 134077464 in words is "one hundred thirty-four million, seventy-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 281 282 376 423 562 564 843 846 1124 1128 1269 1686 1692 2209 2248 2529 2538 3372 3384 4418 5058 5076 6627 6744 7587 8836 10116 10152 13207 13254 15174 17672 19881 20232 26414 26508 30348 39621 39762 52828 53016 59643 60696 79242 79524 105656 118863 119286 158484 159048 237726 238572 316968 356589 475452 477144 620729 713178 950904 1241458 1426356 1862187 2482916 2852712 3724374 4965832 5586561 7448748 11173122 14897496 16759683 22346244 33519366 44692488 67038732 134077464