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134121144 = 23379127557
BaseRepresentation
bin1111111111010…
…00011010111000
3100100101001121210
413333220122320
5233313334034
621150403120
73216003513
oct777503270
9310331553
10134121144
1169787223
1238b004a0
1321a2c531
1413b53d7a
15bb948e9
hex7fe86b8

134121144 has 64 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 43714944.

The previous prime is 134121137. The next prime is 134121151. The reversal of 134121144 is 441121431.

It is an interprime number because it is at equal distance from previous prime (134121137) and next prime (134121151).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 134121144.

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, 240514 + ... + 241070.

It is an arithmetic number, because the mean of its divisors is an integer number (5356800).

Almost surely, 2134121144 is an apocalyptic number.

It is an amenable number.

134121144 is an abundant number, since it is smaller than the sum of its proper divisors (208714056).

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

134121144 is a wasteful number, since it uses less digits than its factorization.

134121144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 768 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 134121144 is about 11581.0683445009. The cubic root of 134121144 is about 511.8771576223.

Adding to 134121144 its reverse (441121431), we get a palindrome (575242575).

It can be divided in two parts, 134 and 121144, that added together give a triangular number (121278 = T492).

The spelling of 134121144 in words is "one hundred thirty-four million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 79 127 158 237 254 316 381 474 508 557 632 762 948 1016 1114 1524 1671 1896 2228 3048 3342 4456 6684 10033 13368 20066 30099 40132 44003 60198 70739 80264 88006 120396 132009 141478 176012 212217 240792 264018 282956 352024 424434 528036 565912 848868 1056072 1697736 5588381 11176762 16765143 22353524 33530286 44707048 67060572 134121144