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134010072 = 23337263337
BaseRepresentation
bin1111111110011…
…01010011011000
3100100011102021000
413333031103120
5233301310242
621144145000
73215031630
oct777152330
9310142230
10134010072
1169710829
1238a68160
13219c0b01
1413b256c0
15bb71a4c
hex7fcd4d8

134010072 has 128 divisors (see below), whose sum is σ = 428313600. Its totient is φ = 38029824.

The previous prime is 134010061. The next prime is 134010083. The reversal of 134010072 is 270010431.

It is an interprime number because it is at equal distance from previous prime (134010061) and next prime (134010083).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 397488 + ... + 397824.

It is an arithmetic number, because the mean of its divisors is an integer number (3346200).

Almost surely, 2134010072 is an apocalyptic number.

134010072 is a gapful number since it is divisible by the number (12) 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 134010072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214156800).

134010072 is an abundant number, since it is smaller than the sum of its proper divisors (294303528).

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

134010072 is a wasteful number, since it uses less digits than its factorization.

134010072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 134010072 is about 11576.2719387547. The cubic root of 134010072 is about 511.7358154496.

The spelling of 134010072 in words is "one hundred thirty-four million, ten thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 263 337 378 504 526 674 756 789 1011 1052 1348 1512 1578 1841 2022 2104 2359 2367 2696 3033 3156 3682 4044 4718 4734 5523 6066 6312 7077 7101 7364 8088 9099 9436 9468 11046 12132 14154 14202 14728 16569 18198 18872 18936 21231 22092 24264 28308 28404 33138 36396 42462 44184 49707 56616 56808 63693 66276 72792 84924 88631 99414 127386 132552 169848 177262 198828 254772 265893 354524 397656 509544 531786 620417 709048 797679 1063572 1240834 1595358 1861251 2127144 2393037 2481668 3190716 3722502 4786074 4963336 5583753 6381432 7445004 9572148 11167506 14890008 16751259 19144296 22335012 33502518 44670024 67005036 134010072