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134144004 = 223234389127
BaseRepresentation
bin1111111111011…
…10000000000100
3100100102012222110
413333232000010
5233320102004
621151101020
73216130251
oct777560004
9310365873
10134144004
11697a2415
1238b11770
1321a39a67
1413b5c428
15bb9b589
hex7fee004

134144004 has 96 divisors (see below), whose sum is σ = 340623360. Its totient is φ = 40981248.

The previous prime is 134143979. The next prime is 134144029. The reversal of 134144004 is 400441431.

It is an interprime number because it is at equal distance from previous prime (134143979) and next prime (134144029).

It is a super-2 number, since 2×1341440042 = 35989227618304032, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1056189 + ... + 1056315.

It is an arithmetic number, because the mean of its divisors is an integer number (3548160).

Almost surely, 2134144004 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 134144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

134144004 is an abundant number, since it is smaller than the sum of its proper divisors (206479356).

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

134144004 is a wasteful number, since it uses less digits than its factorization.

134144004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 134144004 is about 11582.0552580274. The cubic root of 134144004 is about 511.9062379167.

Adding to 134144004 its reverse (400441431), we get a palindrome (534585435).

The spelling of 134144004 in words is "one hundred thirty-four million, one hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 12 23 43 46 69 86 89 92 127 129 138 172 178 254 258 267 276 356 381 508 516 534 762 989 1068 1524 1978 2047 2921 2967 3827 3956 4094 5461 5842 5934 6141 7654 8188 8763 10922 11303 11481 11684 11868 12282 15308 16383 17526 21844 22606 22962 24564 32766 33909 35052 45212 45924 65532 67818 88021 125603 135636 176042 251206 259969 264063 352084 376809 486029 502412 519938 528126 753618 779907 972058 1039876 1056252 1458087 1507236 1559814 1944116 2916174 3119628 5832348 11178667 22357334 33536001 44714668 67072002 134144004