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135241212450 = 23521957782241
BaseRepresentation
bin111110111110100000…
…0010010001000100010
3110221002012012102110110
41331331000102020202
54203433222244300
6142043504312150
712525255224061
oct1757500221042
9427065172413
10135241212450
11523a0158673
1222264012656
13c9a39ba086
14678d5da1d8
1537b8065550
hex1f7d012222

135241212450 has 96 divisors (see below), whose sum is σ = 353666917440. Its totient is φ = 34106572800.

The previous prime is 135241212427. The next prime is 135241212451. The reversal of 135241212450 is 54212142531.

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

It is not an unprimeable number, because it can be changed into a prime (135241212451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1603330 + ... + 1685570.

It is an arithmetic number, because the mean of its divisors is an integer number (3684030390).

Almost surely, 2135241212450 is an apocalyptic number.

135241212450 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 135241212450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176833458720).

135241212450 is an abundant number, since it is smaller than the sum of its proper divisors (218425704990).

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

135241212450 is a wasteful number, since it uses less digits than its factorization.

135241212450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82852 (or 82847 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 135241212450 its reverse (54212142531), we get a palindrome (189453354981).

The spelling of 135241212450 in words is "one hundred thirty-five billion, two hundred forty-one million, two hundred twelve thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 475 570 577 950 1154 1425 1731 2850 2885 3462 5770 8655 10963 14425 17310 21926 28850 32889 43275 54815 65778 82241 86550 109630 164445 164482 246723 274075 328890 411205 493446 548150 822225 822410 1233615 1562579 1644450 2056025 2467230 3125158 4112050 4687737 6168075 7812895 9375474 12336150 15625790 23438685 39064475 46877370 47453057 78128950 94906114 117193425 142359171 234386850 237265285 284718342 474530570 711795855 901608083 1186326425 1423591710 1803216166 2372652850 2704824249 3558979275 4508040415 5409648498 7117958550 9016080830 13524121245 22540202075 27048242490 45080404150 67620606225 135241212450