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134128404 = 223237101997
BaseRepresentation
bin1111111111010…
…10001100010100
3100100101102120200
413333222030110
5233314102104
621150500500
73216033624
oct777521424
9310342520
10134128404
1169791723
1238b04730
1321a32927
1413b56884
15bb96b39
hex7fea314

134128404 has 72 divisors (see below), whose sum is σ = 352010568. Its totient is φ = 43027200.

The previous prime is 134128403. The next prime is 134128409. The reversal of 134128404 is 404821431.

134128404 is a `hidden beast` number, since 134 + 128 + 404 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108118404 + 26010000 = 10398^2 + 5100^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134128403) 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, 134034 + ... + 135030.

Almost surely, 2134128404 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 134128404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176005284).

134128404 is an abundant number, since it is smaller than the sum of its proper divisors (217882164).

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

134128404 is a wasteful number, since it uses less digits than its factorization.

134128404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 134128404 is about 11581.3817828444. The cubic root of 134128404 is about 511.8863934544.

Adding to 134128404 its reverse (404821431), we get a palindrome (538949835).

The spelling of 134128404 in words is "one hundred thirty-four million, one hundred twenty-eight thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 101 111 148 202 222 303 333 404 444 606 666 909 997 1212 1332 1818 1994 2991 3636 3737 3988 5982 7474 8973 11211 11964 14948 17946 22422 33633 35892 36889 44844 67266 73778 100697 110667 134532 147556 201394 221334 302091 332001 402788 442668 604182 664002 906273 1208364 1328004 1812546 3625092 3725789 7451578 11177367 14903156 22354734 33532101 44709468 67064202 134128404