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136048000 = 275311773
BaseRepresentation
bin10000001101111…
…10110110000000
3100110222221202211
420012332312000
5234312014000
621255551504
73241250254
oct1006766600
9313887684
10136048000
116a882970
123968b594
132225559a
14140d6264
15be257ba
hex81bed80

136048000 has 128 divisors (see below), whose sum is σ = 369476640. Its totient is φ = 49408000.

The previous prime is 136047997. The next prime is 136048009. The reversal of 136048000 is 840631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136048009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175614 + ... + 176386.

Almost surely, 2136048000 is an apocalyptic number.

136048000 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 136048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184738320).

136048000 is an abundant number, since it is smaller than the sum of its proper divisors (233428640).

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

136048000 is an equidigital number, since it uses as much as digits as its factorization.

136048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 136048000 is about 11663.9615911576. The cubic root of 136048000 is about 514.3168117586.

Adding to 136048000 its reverse (840631), we get a palindrome (136888631).

The spelling of 136048000 in words is "one hundred thirty-six million, forty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 640 704 773 800 880 1000 1100 1375 1408 1546 1600 1760 2000 2200 2750 3092 3200 3520 3865 4000 4400 5500 6184 7040 7730 8000 8503 8800 11000 12368 15460 16000 17006 17600 19325 22000 24736 30920 34012 35200 38650 42515 44000 49472 61840 68024 77300 85030 88000 96625 98944 123680 136048 154600 170060 176000 193250 212575 247360 272096 309200 340120 386500 425150 494720 544192 618400 680240 773000 850300 1062875 1088384 1236800 1360480 1546000 1700600 2125750 2473600 2720960 3092000 3401200 4251500 5441920 6184000 6802400 8503000 12368000 13604800 17006000 27209600 34012000 68024000 136048000