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135144112100 = 22526734758129
BaseRepresentation
bin111110111011100110…
…1110111111111100100
3110220211102111012211012
41331313031313333210
54203233343041400
6142030115201352
712522665666504
oct1756715677744
9426742435735
10135144112100
1152350367748
12222375a6258
13c98985034a
146780761a04
1537ae784d35
hex1f77377fe4

135144112100 has 72 divisors (see below), whose sum is σ = 298502665440. Its totient is φ = 53096440320.

The previous prime is 135144112079. The next prime is 135144112153. The reversal of 135144112100 is 1211441531.

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, 2295836 + ... + 2353964.

Almost surely, 2135144112100 is an apocalyptic number.

135144112100 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 135144112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149251332720).

135144112100 is an abundant number, since it is smaller than the sum of its proper divisors (163358553340).

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

135144112100 is a wasteful number, since it uses less digits than its factorization.

135144112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58557 (or 58550 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

Adding to 135144112100 its reverse (1211441531), we get a palindrome (136355553631).

The spelling of 135144112100 in words is "one hundred thirty-five billion, one hundred forty-four million, one hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 268 335 347 670 694 1340 1388 1675 1735 3350 3470 6700 6940 8675 17350 23249 34700 46498 58129 92996 116245 116258 232490 232516 290645 464980 581225 581290 1162450 1162580 1453225 2324900 2906450 3894643 5812900 7789286 15578572 19473215 20170763 38946430 40341526 77892860 80683052 97366075 100853815 194732150 201707630 389464300 403415260 504269075 1008538150 1351441121 2017076300 2702882242 5405764484 6757205605 13514411210 27028822420 33786028025 67572056050 135144112100