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135033248 = 2572112857
BaseRepresentation
bin10000000110001…
…11000110100000
3100102002101210102
420003013012200
5234032030443
621222121532
73226522640
oct1003070640
9312071712
10135033248
116a24a529
12392802a8
1321c8b73c
1413d10520
15bcc4cb8
hex80c71a0

135033248 has 48 divisors (see below), whose sum is σ = 305371584. Its totient is φ = 57576960.

The previous prime is 135033229. The next prime is 135033271. The reversal of 135033248 is 842330531.

It is a self number, because there is not a number n which added to its sum of digits gives 135033248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45836 + ... + 48692.

It is an arithmetic number, because the mean of its divisors is an integer number (6361908).

Almost surely, 2135033248 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 135033248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152685792).

135033248 is an abundant number, since it is smaller than the sum of its proper divisors (170338336).

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

135033248 is a wasteful number, since it uses less digits than its factorization.

135033248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3085 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 135033248 is about 11620.3807166547. The cubic root of 135033248 is about 513.0348940872.

Adding to 135033248 its reverse (842330531), we get a palindrome (977363779).

The spelling of 135033248 in words is "one hundred thirty-five million, thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 211 224 422 844 1477 1688 2857 2954 3376 5714 5908 6752 11428 11816 19999 22856 23632 39998 45712 47264 79996 91424 159992 319984 602827 639968 1205654 2411308 4219789 4822616 8439578 9645232 16879156 19290464 33758312 67516624 135033248