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134212144 = 241117311447
BaseRepresentation
bin1111111111111…
…10101000110000
3100100112200110011
413333332220300
5233324242034
621152344304
73216533023
oct777765060
9310480404
10134212144
1169839630
1238b45094
1321a61a91
1413b791ba
15bbb1864
hex7ffea30

134212144 has 80 divisors (see below), whose sum is σ = 310265856. Its totient is φ = 55526400.

The previous prime is 134212109. The next prime is 134212151. The reversal of 134212144 is 441212431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92029 + ... + 93475.

Almost surely, 2134212144 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 134212144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155132928).

134212144 is an abundant number, since it is smaller than the sum of its proper divisors (176053712).

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

134212144 is a wasteful number, since it uses less digits than its factorization.

134212144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 134212144 is about 11584.9965040996. The cubic root of 134212144 is about 511.9928994784.

Adding to 134212144 its reverse (441212431), we get a palindrome (575424575).

The spelling of 134212144 in words is "one hundred thirty-four million, two hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 17 22 31 34 44 62 68 88 124 136 176 187 248 272 341 374 496 527 682 748 1054 1364 1447 1496 2108 2728 2894 2992 4216 5456 5788 5797 8432 11576 11594 15917 23152 23188 24599 31834 44857 46376 49198 63668 89714 92752 98396 127336 179428 196792 254672 270589 358856 393584 493427 541178 717712 762569 986854 1082356 1525138 1973708 2164712 3050276 3947416 4329424 6100552 7894832 8388259 12201104 16776518 33553036 67106072 134212144