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135155232 = 25321134153
BaseRepresentation
bin10000000111001…
…00111000100000
3100102022121010100
420003210320200
5234044431412
621224502400
73230541402
oct1003447040
9312277110
10135155232
116a323143
123931aa00
1322002114
1413d42b72
15bceaedc
hex80e4e20

135155232 has 72 divisors (see below), whose sum is σ = 387842364. Its totient is φ = 44642304.

The previous prime is 135155213. The next prime is 135155233. The reversal of 135155232 is 232551531.

It is a happy number.

135155232 is a `hidden beast` number, since 135 + 1 + 5 + 523 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83832336 + 51322896 = 9156^2 + 7164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 135155196 and 135155205.

It is not an unprimeable number, because it can be changed into a prime (135155233) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30468 + ... + 34620.

Almost surely, 2135155232 is an apocalyptic number.

135155232 is a gapful number since it is divisible by the number (12) 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 135155232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193921182).

135155232 is an abundant number, since it is smaller than the sum of its proper divisors (252687132).

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

135155232 is a wasteful number, since it uses less digits than its factorization.

135155232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4271 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 135155232 is about 11625.6282410887. The cubic root of 135155232 is about 513.1893331213.

The spelling of 135155232 in words is "one hundred thirty-five million, one hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 113 144 226 288 339 452 678 904 1017 1356 1808 2034 2712 3616 4068 4153 5424 8136 8306 10848 12459 16272 16612 24918 32544 33224 37377 49836 66448 74754 99672 132896 149508 199344 299016 398688 469289 598032 938578 1196064 1407867 1877156 2815734 3754312 4223601 5631468 7508624 8447202 11262936 15017248 16894404 22525872 33788808 45051744 67577616 135155232