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135435344 = 241119101401
BaseRepresentation
bin10000001001010…
…01010001010000
3100102211211100212
420010221101100
5234132412334
621234503252
73233116142
oct1004512120
9312754325
10135435344
116a4a4640
1239434b28
132209c775
1413db6c92
15bd53ece
hex8129450

135435344 has 80 divisors (see below), whose sum is σ = 305069760. Its totient is φ = 57600000.

The previous prime is 135435319. The next prime is 135435347. The reversal of 135435344 is 443534531.

Its product of digits (43200) is a multiple of the sum of its prime factors (540).

It is a self number, because there is not a number n which added to its sum of digits gives 135435344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135435347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337544 + ... + 337944.

It is an arithmetic number, because the mean of its divisors is an integer number (3813372).

Almost surely, 2135435344 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 135435344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152534880).

135435344 is an abundant number, since it is smaller than the sum of its proper divisors (169634416).

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

135435344 is a wasteful number, since it uses less digits than its factorization.

135435344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 43200, while the sum is 32.

The square root of 135435344 is about 11637.6691824437. The cubic root of 135435344 is about 513.5436202965.

Adding to 135435344 its reverse (443534531), we get a palindrome (578969875).

The spelling of 135435344 in words is "one hundred thirty-five million, four hundred thirty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 101 152 176 202 209 304 401 404 418 802 808 836 1111 1604 1616 1672 1919 2222 3208 3344 3838 4411 4444 6416 7619 7676 8822 8888 15238 15352 17644 17776 21109 30476 30704 35288 40501 42218 60952 70576 81002 83809 84436 121904 162004 167618 168872 324008 335236 337744 445511 648016 670472 769519 891022 1340944 1539038 1782044 3078076 3564088 6156152 7128176 8464709 12312304 16929418 33858836 67717672 135435344