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135105022125240 = 23359370312015359
BaseRepresentation
bin11110101110000010010110…
…110110011110010010111000
3122201100220200021210011010020
4132232002112312132102320
5120202030041131001430
61155202220151050440
740313005252616646
oct3656022666362270
9581326607704106
10135105022125240
113a059799899912
12131a0312670a20
135a5046c76330b
142551191986196
1510945d1d7bb10
hex7ae096d9e4b8

135105022125240 has 64 divisors (see below), whose sum is σ = 405319425638400. Its totient is φ = 36027618410112.

The previous prime is 135105022125233. The next prime is 135105022125251. The reversal of 135105022125240 is 42521220501531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5236681 + ... + 17252039.

It is an arithmetic number, because the mean of its divisors is an integer number (6333116025600).

Almost surely, 2135105022125240 is an apocalyptic number.

135105022125240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135105022125240 is an abundant number, since it is smaller than the sum of its proper divisors (270214403513160).

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

135105022125240 is a wasteful number, since it uses less digits than its factorization.

135105022125240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12109076 (or 12109072 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 135105022125240 its reverse (42521220501531), we get a palindrome (177626242626771).

The spelling of 135105022125240 in words is "one hundred thirty-five trillion, one hundred five billion, twenty-two million, one hundred twenty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 93703 187406 281109 374812 468515 562218 749624 937030 1124436 1405545 1874060 2248872 2811090 3748120 5622180 11244360 12015359 24030718 36046077 48061436 60076795 72092154 96122872 120153590 144184308 180230385 240307180 288368616 360460770 480614360 720921540 1441843080 1125875184377 2251750368754 3377625553131 4503500737508 5629375921885 6755251106262 9007001475016 11258751843770 13510502212524 16888127765655 22517503687540 27021004425048 33776255531310 45035007375080 67552511062620 135105022125240