Search a number
-
+
134635144 = 2372418377
BaseRepresentation
bin10000000011001…
…01111010001000
3100101100011200211
420001211322020
5233431311034
621205410504
73223244200
oct1001457210
9311304624
10134635144
1169aa8416
1239109a34
1321b7c487
1413c49400
15bc46d64
hex8065e88

134635144 has 48 divisors (see below), whose sum is σ = 300853980. Its totient is φ = 56286720.

The previous prime is 134635133. The next prime is 134635147. The reversal of 134635144 is 441536431.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 105884100 + 28751044 = 10290^2 + 5362^2 .

It is not an unprimeable number, because it can be changed into a prime (134635147) 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, 11884 + ... + 20260.

Almost surely, 2134635144 is an apocalyptic number.

134635144 is a gapful number since it is divisible by the number (14) 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 134635144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150426990).

134635144 is an abundant number, since it is smaller than the sum of its proper divisors (166218836).

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

134635144 is a wasteful number, since it uses less digits than its factorization.

134635144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8438 (or 8427 counting only the distinct ones).

The product of its digits is 17280, while the sum is 31.

The square root of 134635144 is about 11603.2385134496. The cubic root of 134635144 is about 512.5302226080.

The spelling of 134635144 in words is "one hundred thirty-four million, six hundred thirty-five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 8377 16072 16754 33508 58639 67016 117278 234556 343457 410473 469112 686914 820946 1373828 1641892 2404199 2747656 3283784 4808398 9616796 16829393 19233592 33658786 67317572 134635144