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135053040450 = 235273113109147
BaseRepresentation
bin111110111000111001…
…0011101101101000010
3110220121002010022000010
41331301302131231002
54203042034243300
6142013103205350
712520511621466
oct1756162355502
9426532108003
10135053040450
1152303a14219
1222210ba6856
13c973a146b3
1467726164a6
1537a6795a50
hex1f71c9db42

135053040450 has 96 divisors (see below), whose sum is σ = 342527380416. Its totient is φ = 35206133760.

The previous prime is 135053040413. The next prime is 135053040461. The reversal of 135053040450 is 54040350531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182777 + ... + 1291923.

It is an arithmetic number, because the mean of its divisors is an integer number (3567993546).

Almost surely, 2135053040450 is an apocalyptic number.

135053040450 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 135053040450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171263690208).

135053040450 is an abundant number, since it is smaller than the sum of its proper divisors (207474339966).

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

135053040450 is a wasteful number, since it uses less digits than its factorization.

135053040450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109348 (or 109343 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

Adding to 135053040450 its reverse (54040350531), we get a palindrome (189093390981).

The spelling of 135053040450 in words is "one hundred thirty-five billion, fifty-three million, forty thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 73 75 113 146 150 219 226 339 365 438 565 678 730 1095 1130 1695 1825 2190 2825 3390 3650 5475 5650 8249 8475 10950 16498 16950 24747 41245 49494 82490 109147 123735 206225 218294 247470 327441 412450 545735 618675 654882 1091470 1237350 1637205 2728675 3274410 5457350 7967731 8186025 12333611 15935462 16372050 23903193 24667222 37000833 39838655 47806386 61668055 74001666 79677310 119515965 123336110 185004165 199193275 239031930 308340275 370008330 398386550 597579825 616680550 900353603 925020825 1195159650 1800707206 1850041650 2701060809 4501768015 5402121618 9003536030 13505304045 22508840075 27010608090 45017680150 67526520225 135053040450