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134044512 = 25371511321
BaseRepresentation
bin1111111110101…
…01101101100000
3100100020011111120
413333111231200
5233303411022
621145012240
73215234220
oct777255540
9310204446
10134044512
1169734698
1238a84080
1321a036a4
1413b34080
15bb7bd5c
hex7fd5b60

134044512 has 96 divisors (see below), whose sum is σ = 405103104. Its totient is φ = 38016000.

The previous prime is 134044447. The next prime is 134044523. The reversal of 134044512 is 215440431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 100812 + ... + 102132.

It is an arithmetic number, because the mean of its divisors is an integer number (4219824).

Almost surely, 2134044512 is an apocalyptic number.

134044512 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 134044512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202551552).

134044512 is an abundant number, since it is smaller than the sum of its proper divisors (271058592).

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

134044512 is a wasteful number, since it uses less digits than its factorization.

134044512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 134044512 is about 11577.7593687207. The cubic root of 134044512 is about 511.7796496472.

Adding to 134044512 its reverse (215440431), we get a palindrome (349484943).

The spelling of 134044512 in words is "one hundred thirty-four million, forty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 151 168 224 302 336 453 604 672 906 1057 1208 1321 1812 2114 2416 2642 3171 3624 3963 4228 4832 5284 6342 7248 7926 8456 9247 10568 12684 14496 15852 16912 18494 21136 25368 27741 31704 33824 36988 42272 50736 55482 63408 73976 101472 110964 126816 147952 199471 221928 295904 398942 443856 598413 797884 887712 1196826 1396297 1595768 2393652 2792594 3191536 4188891 4787304 5585188 6383072 8377782 9574608 11170376 16755564 19149216 22340752 33511128 44681504 67022256 134044512