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135409648 = 24112233041
BaseRepresentation
bin10000001001000…
…10111111110000
3100102210112010011
420010202333300
5234131102043
621234144304
73232651213
oct1004427760
9312715104
10135409648
116a487300
1239422094
1322090b6a
1413dab77a
15bd4b59d
hex8122ff0

135409648 has 60 divisors (see below), whose sum is σ = 301011984. Its totient is φ = 58854400.

The previous prime is 135409627. The next prime is 135409663. The reversal of 135409648 is 846904531.

It is a self number, because there is not a number n which added to its sum of digits gives 135409648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43008 + ... + 46048.

Almost surely, 2135409648 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 135409648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150505992).

135409648 is an abundant number, since it is smaller than the sum of its proper divisors (165602336).

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

135409648 is a wasteful number, since it uses less digits than its factorization.

135409648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 135409648 is about 11636.5651289373. The cubic root of 135409648 is about 513.5111402187.

The spelling of 135409648 in words is "one hundred thirty-five million, four hundred nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 121 176 184 242 253 368 484 506 968 1012 1936 2024 2783 3041 4048 5566 6082 11132 12164 22264 24328 33451 44528 48656 66902 69943 133804 139886 267608 279772 367961 535216 559544 735922 769373 1119088 1471844 1538746 2943688 3077492 5887376 6154984 8463103 12309968 16926206 33852412 67704824 135409648