Search a number
-
+
135150612600 = 23352367613763
BaseRepresentation
bin111110111011110011…
…0101011000001111000
3110220211212201110211110
41331313212223001320
54203242024100400
6142030510400320
712523105152423
oct1756746530170
9426755643743
10135150612600
1152353aa7663
12222398000a0
13c98acb80b3
1467815749ba
1537b011ae50
hex1f779ab078

135150612600 has 96 divisors (see below), whose sum is σ = 420109182720. Its totient is φ = 35941902720.

The previous prime is 135150612557. The next prime is 135150612613. The reversal of 135150612600 is 6216051531.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86682 + ... + 527081.

It is an arithmetic number, because the mean of its divisors is an integer number (4376137320).

Almost surely, 2135150612600 is an apocalyptic number.

135150612600 is a gapful number since it is divisible by the number (10) 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 135150612600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210054591360).

135150612600 is an abundant number, since it is smaller than the sum of its proper divisors (284958570120).

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

135150612600 is a wasteful number, since it uses less digits than its factorization.

135150612600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614149 (or 614140 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 135150612600 in words is "one hundred thirty-five billion, one hundred fifty million, six hundred twelve thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 367 600 734 1101 1468 1835 2202 2936 3670 4404 5505 7340 8808 9175 11010 14680 18350 22020 27525 36700 44040 55050 73400 110100 220200 613763 1227526 1841289 2455052 3068815 3682578 4910104 6137630 7365156 9206445 12275260 14730312 15344075 18412890 24550520 30688150 36825780 46032225 61376300 73651560 92064450 122752600 184128900 225251021 368257800 450502042 675753063 901004084 1126255105 1351506126 1802008168 2252510210 2703012252 3378765315 4505020420 5406024504 5631275525 6757530630 9010040840 11262551050 13515061260 16893826575 22525102100 27030122520 33787653150 45050204200 67575306300 135150612600