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135384150 = 23521182051
BaseRepresentation
bin10000001000111…
…00110001010110
3100102202020010210
420010130301112
5234124243100
621233430250
73232513656
oct1004346126
9312666123
10135384150
116a46a130
123940b386
1322082385
1413da2366
15bd43c50
hex811cc56

135384150 has 48 divisors (see below), whose sum is σ = 366280128. Its totient is φ = 32820000.

The previous prime is 135384097. The next prime is 135384157. The reversal of 135384150 is 51483531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135384157) 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 23 ways as a sum of consecutive naturals, for example, 39376 + ... + 42675.

It is an arithmetic number, because the mean of its divisors is an integer number (7630836).

Almost surely, 2135384150 is an apocalyptic number.

135384150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135384150 is an abundant number, since it is smaller than the sum of its proper divisors (230895978).

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

135384150 is a wasteful number, since it uses less digits than its factorization.

135384150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82077 (or 82072 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 135384150 is about 11635.4694791401. The cubic root of 135384150 is about 513.4789063536.

The spelling of 135384150 in words is "one hundred thirty-five million, three hundred eighty-four thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 330 550 825 1650 82051 164102 246153 410255 492306 820510 902561 1230765 1805122 2051275 2461530 2707683 4102550 4512805 5415366 6153825 9025610 12307650 13538415 22564025 27076830 45128050 67692075 135384150