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135483012 = 223272918539
BaseRepresentation
bin10000001001101…
…00111010000100
3100102221020202100
420010310322010
5234140424022
621235512100
73233405130
oct1004647204
9312836670
10135483012
116a527435
1239458630
13220b8382
1413dca3c0
15bd631ac
hex8134e84

135483012 has 72 divisors (see below), whose sum is σ = 404913600. Its totient is φ = 37372608.

The previous prime is 135483001. The next prime is 135483017. The reversal of 135483012 is 210384531.

It is a happy number.

135483012 is a `hidden beast` number, since 1 + 354 + 8 + 301 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (135483017) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1962 + ... + 16577.

It is an arithmetic number, because the mean of its divisors is an integer number (5623800).

Almost surely, 2135483012 is an apocalyptic number.

135483012 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 135483012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202456800).

135483012 is an abundant number, since it is smaller than the sum of its proper divisors (269430588).

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

135483012 is a wasteful number, since it uses less digits than its factorization.

135483012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18585 (or 18580 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 135483012 is about 11639.7170068692. The cubic root of 135483012 is about 513.6038623898.

The spelling of 135483012 in words is "one hundred thirty-five million, four hundred eighty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 18539 37078 55617 74156 111234 129773 166851 222468 259546 333702 389319 519092 537631 667404 778638 1075262 1167957 1557276 1612893 2150524 2335914 3225786 3763417 4671828 4838679 6451572 7526834 9677358 11290251 15053668 19354716 22580502 33870753 45161004 67741506 135483012