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135238104480 = 25351971430183
BaseRepresentation
bin111110111110011010…
…0011011010110100000
3110221001222100112010110
41331330310123112200
54203431423320410
6142043313531320
712525216630663
oct1757464332640
9427058315113
10135238104480
11523994255a6
1222262b73b40
13c9a316c53b
14678d02b6da
1537b7b4e720
hex1f7cd1b5a0

135238104480 has 96 divisors (see below), whose sum is σ = 428162765184. Its totient is φ = 35880406016.

The previous prime is 135238104467. The next prime is 135238104481. The reversal of 135238104480 is 84401832531.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (135238104481) 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, 620532 + ... + 809651.

It is an arithmetic number, because the mean of its divisors is an integer number (4460028804).

Almost surely, 2135238104480 is an apocalyptic number.

135238104480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135238104480 is an abundant number, since it is smaller than the sum of its proper divisors (292924660704).

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

135238104480 is a wasteful number, since it uses less digits than its factorization.

135238104480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1430398 (or 1430390 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 135238104480 in words is "one hundred thirty-five billion, two hundred thirty-eight million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 197 240 394 480 591 788 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7880 9456 11820 15760 18912 23640 31520 47280 94560 1430183 2860366 4290549 5720732 7150915 8581098 11441464 14301830 17162196 21452745 22882928 28603660 34324392 42905490 45765856 57207320 68648784 85810980 114414640 137297568 171621960 228829280 281746051 343243920 563492102 686487840 845238153 1126984204 1408730255 1690476306 2253968408 2817460510 3380952612 4226190765 4507936816 5634921020 6761905224 8452381530 9015873632 11269842040 13523810448 16904763060 22539684080 27047620896 33809526120 45079368160 67619052240 135238104480