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134128016 = 24112292389
BaseRepresentation
bin1111111111010…
…10000110010000
3100100101102001022
413333222012100
5233314044031
621150455012
73216032531
oct777520620
9310342038
10134128016
1169791400
1238b04468
1321a326b9
1413b56688
15bb9697b
hex7fea190

134128016 has 60 divisors (see below), whose sum is σ = 295619100. Its totient is φ = 58840320.

The previous prime is 134128013. The next prime is 134128021. The reversal of 134128016 is 610821431.

It can be written as a sum of positive squares in 2 ways, for example, as 49561600 + 84566416 = 7040^2 + 9196^2 .

It is not an unprimeable number, because it can be changed into a prime (134128013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54950 + ... + 57338.

It is an arithmetic number, because the mean of its divisors is an integer number (4926985).

Almost surely, 2134128016 is an apocalyptic number.

134128016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134128016 is the 6191-st centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134128016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147809550).

134128016 is an abundant number, since it is smaller than the sum of its proper divisors (161491084).

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

134128016 is a wasteful number, since it uses less digits than its factorization.

134128016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2448 (or 2431 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 134128016 is about 11581.3650318086. The cubic root of 134128016 is about 511.8858998674.

Adding to 134128016 its reverse (610821431), we get a palindrome (744949447).

The spelling of 134128016 in words is "one hundred thirty-four million, one hundred twenty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 121 176 232 242 319 464 484 638 968 1276 1936 2389 2552 3509 4778 5104 7018 9556 14036 19112 26279 28072 38224 52558 56144 69281 105116 138562 210232 277124 289069 420464 554248 578138 762091 1108496 1156276 1524182 2312552 3048364 4625104 6096728 8383001 12193456 16766002 33532004 67064008 134128016