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135989568 = 263211132127
BaseRepresentation
bin10000001101100…
…00100101000000
3100110212222121200
420012300211000
5234303131233
621254421200
73240615021
oct1006604500
9313788550
10135989568
116a842a80
1239661800
1322234b00
14140bcc48
15be13313
hex81b0940

135989568 has 252 divisors, whose sum is σ = 464076288. Its totient is φ = 37739520.

The previous prime is 135989563. The next prime is 135989587. The reversal of 135989568 is 865989531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135989563) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070721 + ... + 1070847.

Almost surely, 2135989568 is an apocalyptic number.

135989568 is a gapful number since it is divisible by the number (18) 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 135989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232038144).

135989568 is an abundant number, since it is smaller than the sum of its proper divisors (328086720).

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

135989568 is a wasteful number, since it uses less digits than its factorization.

135989568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 156 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The square root of 135989568 is about 11661.4565128032. The cubic root of 135989568 is about 514.2431689672.

The spelling of 135989568 in words is "one hundred thirty-five million, nine hundred eighty-nine thousand, five hundred sixty-eight".