Search a number
-
+
134335656 = 2332721329101
BaseRepresentation
bin10000000000111…
…00110010101000
3100100202221212200
420000130302220
5233342220111
621155140200
73220556100
oct1000346250
9310687780
10134335656
1169913404
1238ba4660
1321aa6070
1413bac200
15bbd8256
hex801cca8

134335656 has 288 divisors, whose sum is σ = 476166600. Its totient is φ = 33868800.

The previous prime is 134335613. The next prime is 134335657. The reversal of 134335656 is 656533431.

It can be written as a sum of positive squares in 4 ways, for example, as 123876900 + 10458756 = 11130^2 + 3234^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134335656.

It is not an unprimeable number, because it can be changed into a prime (134335657) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1330006 + ... + 1330106.

Almost surely, 2134335656 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 134335656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238083300).

134335656 is an abundant number, since it is smaller than the sum of its proper divisors (341830944).

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

134335656 is a wasteful number, since it uses less digits than its factorization.

134335656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its digits is 97200, while the sum is 36.

The square root of 134335656 is about 11590.3259660805. The cubic root of 134335656 is about 512.1499093099.

It can be divided in two parts, 134 and 335656, that added together give a triangular number (335790 = T819).

The spelling of 134335656 in words is "one hundred thirty-four million, three hundred thirty-five thousand, six hundred fifty-six".