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135752232 = 23371173459
BaseRepresentation
bin10000001011101…
…10101000101000
3100110102221001110
420011312220220
5234223032412
621245350320
73235606050
oct1005665050
9313387043
10135752232
116a6a0730
12395683a0
1322180a85
141405a560
15bdb7d3c
hex8176a28

135752232 has 64 divisors (see below), whose sum is σ = 423129600. Its totient is φ = 35259840.

The previous prime is 135752209. The next prime is 135752237. The reversal of 135752232 is 232257531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135752232.

It is not an unprimeable number, because it can be changed into a prime (135752237) 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 15 ways as a sum of consecutive naturals, for example, 34882 + ... + 38577.

It is an arithmetic number, because the mean of its divisors is an integer number (6611400).

Almost surely, 2135752232 is an apocalyptic number.

135752232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135752232 is an abundant number, since it is smaller than the sum of its proper divisors (287377368).

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

135752232 is a wasteful number, since it uses less digits than its factorization.

135752232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73486 (or 73482 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 135752232 is about 11651.2759816254. The cubic root of 135752232 is about 513.9438335373.

The spelling of 135752232 in words is "one hundred thirty-five million, seven hundred fifty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 73459 146918 220377 293836 440754 514213 587672 808049 881508 1028426 1542639 1616098 1763016 2056852 2424147 3085278 3232196 4113704 4848294 5656343 6170556 6464392 9696588 11312686 12341112 16969029 19393176 22625372 33938058 45250744 67876116 135752232