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134122692 = 223112711301
BaseRepresentation
bin1111111111010…
…00110011000100
3100100101010202010
413333220303010
5233313411232
621150414220
73216011154
oct777506304
9310333663
10134122692
1169788400
1238b01370
1321a30152
1413b54764
15bb950cc
hex7fe8cc4

134122692 has 72 divisors (see below), whose sum is σ = 349102656. Its totient is φ = 40040000.

The previous prime is 134122687. The next prime is 134122697. The reversal of 134122692 is 296221431.

It is an interprime number because it is at equal distance from previous prime (134122687) and next prime (134122697).

It is not an unprimeable number, because it can be changed into a prime (134122697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102442 + ... + 103742.

It is an arithmetic number, because the mean of its divisors is an integer number (4848648).

Almost surely, 2134122692 is an apocalyptic number.

134122692 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 134122692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174551328).

134122692 is an abundant number, since it is smaller than the sum of its proper divisors (214979964).

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

134122692 is a wasteful number, since it uses less digits than its factorization.

134122692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1401 (or 1388 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 134122692 is about 11581.1351775204. The cubic root of 134122692 is about 511.8791269434.

The spelling of 134122692 in words is "one hundred thirty-four million, one hundred twenty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 71 121 132 142 213 242 284 363 426 484 726 781 852 1301 1452 1562 2343 2602 3124 3903 4686 5204 7806 8591 9372 14311 15612 17182 25773 28622 34364 42933 51546 57244 85866 92371 103092 157421 171732 184742 277113 314842 369484 472263 554226 629684 944526 1016081 1108452 1889052 2032162 3048243 4064324 6096486 11176891 12192972 22353782 33530673 44707564 67061346 134122692