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135140334 = 23721732657
BaseRepresentation
bin10000000111000…
…01001111101110
3100102021211200120
420003201033232
5234043442314
621224305410
73230450100
oct1003411756
9312254616
10135140334
116a312a2a
1239312266
1321cc83c4
1413d3b570
15bce68a9
hex80e13ee

135140334 has 48 divisors (see below), whose sum is σ = 316344528. Its totient is φ = 38373888.

The previous prime is 135140329. The next prime is 135140371. The reversal of 135140334 is 433041531.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49534 + ... + 52190.

It is an arithmetic number, because the mean of its divisors is an integer number (6590511).

Almost surely, 2135140334 is an apocalyptic number.

135140334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135140334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158172264).

135140334 is an abundant number, since it is smaller than the sum of its proper divisors (181204194).

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

135140334 is a wasteful number, since it uses less digits than its factorization.

135140334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 135140334 is about 11624.9874838642. The cubic root of 135140334 is about 513.1704763458.

Adding to 135140334 its reverse (433041531), we get a palindrome (568181865).

It can be divided in two parts, 135 and 140334, that multiplied together give a triangular number (18945090 = T6155).

The spelling of 135140334 in words is "one hundred thirty-five million, one hundred forty thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 173 294 346 519 1038 1211 2422 2657 3633 5314 7266 7971 8477 15942 16954 18599 25431 37198 50862 55797 111594 130193 260386 390579 459661 781158 919322 1378983 2757966 3217627 6435254 9652881 19305762 22523389 45046778 67570167 135140334