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134046864 = 24327711873
BaseRepresentation
bin1111111110101…
…10010010010000
3100100020021201200
413333112102100
5233303444424
621145031200
73215244120
oct777262220
9310207650
10134046864
1169736436
1238a85500
1321a04793
1413b34c80
15bb7c8c9
hex7fd6490

134046864 has 120 divisors (see below), whose sum is σ = 435007872. Its totient is φ = 37739520.

The previous prime is 134046839. The next prime is 134046901. The reversal of 134046864 is 468640431.

134046864 is a `hidden beast` number, since 134 + 0 + 468 + 64 = 666.

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

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, 70632 + ... + 72504.

Almost surely, 2134046864 is an apocalyptic number.

134046864 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 134046864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217503936).

134046864 is an abundant number, since it is smaller than the sum of its proper divisors (300961008).

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

134046864 is a wasteful number, since it uses less digits than its factorization.

134046864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 134046864 is about 11577.8609423330. The cubic root of 134046864 is about 511.7826429282.

The spelling of 134046864 in words is "one hundred thirty-four million, forty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 71 72 84 112 126 142 144 168 213 252 284 336 426 497 504 568 639 852 994 1008 1136 1278 1491 1704 1873 1988 2556 2982 3408 3746 3976 4473 5112 5619 5964 7492 7952 8946 10224 11238 11928 13111 14984 16857 17892 22476 23856 26222 29968 33714 35784 39333 44952 52444 67428 71568 78666 89904 104888 117999 132983 134856 157332 209776 235998 265966 269712 314664 398949 471996 531932 629328 797898 930881 943992 1063864 1196847 1595796 1861762 1887984 2127728 2393694 2792643 3191592 3723524 4787388 5585286 6383184 7447048 8377929 9574776 11170572 14894096 16755858 19149552 22341144 33511716 44682288 67023432 134046864