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135053754 = 231129411721
BaseRepresentation
bin10000000110011…
…00000110111010
3100102010102220220
420003030012322
5234033210004
621222400510
73226636503
oct1003140672
9312112826
10135053754
116a263980
1239290136
1321c97b84
1413d17baa
15bccadd9
hex80cc1ba

135053754 has 64 divisors (see below), whose sum is σ = 312439680. Its totient is φ = 38528000.

The previous prime is 135053747. The next prime is 135053759. The reversal of 135053754 is 457350531.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (135053759) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 77614 + ... + 79334.

It is an arithmetic number, because the mean of its divisors is an integer number (4881870).

Almost surely, 2135053754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135053754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156219840).

135053754 is an abundant number, since it is smaller than the sum of its proper divisors (177385926).

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

135053754 is a wasteful number, since it uses less digits than its factorization.

135053754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1807.

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 135053754 is about 11621.2630122547. The cubic root of 135053754 is about 513.0608624103.

The spelling of 135053754 in words is "one hundred thirty-five million, fifty-three thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 11 22 29 33 41 58 66 82 87 123 174 246 319 451 638 902 957 1189 1353 1721 1914 2378 2706 3442 3567 5163 7134 10326 13079 18931 26158 37862 39237 49909 56793 70561 78474 99818 113586 141122 149727 211683 299454 423366 548999 776171 1097998 1552342 1646997 2046269 2328513 3293994 4092538 4657026 6138807 12277614 22508959 45017918 67526877 135053754