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135994896 = 2433437321
BaseRepresentation
bin10000001101100…
…01111000010000
3100110220020221000
420012301320100
5234303314041
621254502000
73240636402
oct1006617020
9313806830
10135994896
116a846a84
1239664900
132223736b
14140c0b72
15be14bb6
hex81b1e10

135994896 has 80 divisors (see below), whose sum is σ = 399488320. Its totient is φ = 44271360.

The previous prime is 135994889. The next prime is 135994897. The reversal of 135994896 is 698499531.

135994896 is a `hidden beast` number, since 1 + 3 + 599 + 48 + 9 + 6 = 666.

It is a super-2 number, since 2×1359948962 = 36989223476101632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135994897) 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, 14916 + ... + 22236.

It is an arithmetic number, because the mean of its divisors is an integer number (4993604).

Almost surely, 2135994896 is an apocalyptic number.

135994896 is a gapful number since it is divisible by the number (16) 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 135994896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199744160).

135994896 is an abundant number, since it is smaller than the sum of its proper divisors (263493424).

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

135994896 is a wasteful number, since it uses less digits than its factorization.

135994896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381 (or 7369 counting only the distinct ones).

The product of its digits is 2099520, while the sum is 54.

The square root of 135994896 is about 11661.6849554428. The cubic root of 135994896 is about 514.2498848055.

The spelling of 135994896 in words is "one hundred thirty-five million, nine hundred ninety-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 86 108 129 144 172 216 258 344 387 432 516 688 774 1032 1161 1548 2064 2322 3096 4644 6192 7321 9288 14642 18576 21963 29284 43926 58568 65889 87852 117136 131778 175704 197667 263556 314803 351408 395334 527112 629606 790668 944409 1054224 1259212 1581336 1888818 2518424 2833227 3162672 3777636 5036848 5666454 7555272 8499681 11332908 15110544 16999362 22665816 33998724 45331632 67997448 135994896