Search a number
-
+
135134304 = 2533374177
BaseRepresentation
bin10000000110111…
…11110001100000
3100102021112102020
420003133301200
5234043244204
621224221440
73230423364
oct1003376140
9312245366
10135134304
116a309448
123930a880
1321cc5736
1413d392a4
15bce4bd9
hex80dfc60

135134304 has 48 divisors (see below), whose sum is σ = 355865328. Its totient is φ = 44900352.

The previous prime is 135134303. The next prime is 135134347. The reversal of 135134304 is 403431531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1351343042 = 36522560235128832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135134303) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30264 + ... + 34440.

It is an arithmetic number, because the mean of its divisors is an integer number (7413861).

Almost surely, 2135134304 is an apocalyptic number.

It is an amenable number.

135134304 is an abundant number, since it is smaller than the sum of its proper divisors (220731024).

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

135134304 is a wasteful number, since it uses less digits than its factorization.

135134304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135134304 is about 11624.7281258531. The cubic root of 135134304 is about 513.1628436282.

Adding to 135134304 its reverse (403431531), we get a palindrome (538565835).

The spelling of 135134304 in words is "one hundred thirty-five million, one hundred thirty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 337 674 1011 1348 2022 2696 4044 4177 5392 8088 8354 10784 12531 16176 16708 25062 32352 33416 50124 66832 100248 133664 200496 400992 1407649 2815298 4222947 5630596 8445894 11261192 16891788 22522384 33783576 45044768 67567152 135134304