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135413300 = 225211257479
BaseRepresentation
bin10000001001000…
…11111000110100
3100102210201010102
420010203320310
5234131211200
621234213232
73232664651
oct1004437064
9312721112
10135413300
116a48a020
1239424218
1322092719
1413dacc28
15bd4c6d5
hex8123e34

135413300 has 72 divisors (see below), whose sum is σ = 322479360. Its totient is φ = 48947200.

The previous prime is 135413293. The next prime is 135413339. The reversal of 135413300 is 3314531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282461 + ... + 282939.

It is an arithmetic number, because the mean of its divisors is an integer number (4478880).

Almost surely, 2135413300 is an apocalyptic number.

135413300 is a gapful number since it is divisible by the number (10) 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 135413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680).

135413300 is an abundant number, since it is smaller than the sum of its proper divisors (187066060).

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

135413300 is a wasteful number, since it uses less digits than its factorization.

135413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 135413300 is about 11636.7220470371. The cubic root of 135413300 is about 513.5157566446.

Adding to 135413300 its reverse (3314531), we get a palindrome (138727831).

The spelling of 135413300 in words is "one hundred thirty-five million, four hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 257 275 479 514 550 958 1028 1100 1285 1916 2395 2570 2827 4790 5140 5269 5654 6425 9580 10538 11308 11975 12850 14135 21076 23950 25700 26345 28270 47900 52690 56540 70675 105380 123103 131725 141350 246206 263450 282700 492412 526900 615515 1231030 1354133 2462060 2708266 3077575 5416532 6155150 6770665 12310300 13541330 27082660 33853325 67706650 135413300