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135048150 = 23252378111
BaseRepresentation
bin10000000110010…
…10101111010110
3100102010011020100
420003022233112
5234033020100
621222314530
73226614246
oct1003125726
9312104210
10135048150
116a25a746
1239288a46
1321c95463
1413d15b26
15bcc9400
hex80cabd6

135048150 has 72 divisors (see below), whose sum is σ = 372681504. Its totient is φ = 35035200.

The previous prime is 135048149. The next prime is 135048163. The reversal of 135048150 is 51840531.

135048150 is a `hidden beast` number, since 1 + 3 + 504 + 8 + 150 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12595 + ... + 20705.

It is an arithmetic number, because the mean of its divisors is an integer number (5176132).

Almost surely, 2135048150 is an apocalyptic number.

135048150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135048150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186340752).

135048150 is an abundant number, since it is smaller than the sum of its proper divisors (237633354).

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

135048150 is a wasteful number, since it uses less digits than its factorization.

135048150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8158 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 135048150 is about 11621.0218999880. The cubic root of 135048150 is about 513.0537658956.

Adding to 135048150 its reverse (51840531), we get a palindrome (186888681).

It can be divided in two parts, 1350481 and 50, that added together give a palindrome (1350531).

The spelling of 135048150 in words is "one hundred thirty-five million, forty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 37 45 50 74 75 90 111 150 185 222 225 333 370 450 555 666 925 1110 1665 1850 2775 3330 5550 8111 8325 16222 16650 24333 40555 48666 72999 81110 121665 145998 202775 243330 300107 364995 405550 600214 608325 729990 900321 1216650 1500535 1800642 1824975 2700963 3001070 3649950 4501605 5401926 7502675 9003210 13504815 15005350 22508025 27009630 45016050 67524075 135048150