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135648837460180 = 22511649421949439
BaseRepresentation
bin11110110101111100110100…
…110001010110000011010100
3122210021220100201021111110201
4132311330310301112003110
5120234432304342211210
61200300114325030244
740400206434655522
oct3665746461260324
9583256321244421
10135648837460180
113a24939242aa20
12132697a1255384
135a8c827239985
14256d61dd7b312
1510a380e3e153a
hex7b5f34c560d4

135648837460180 has 48 divisors (see below), whose sum is σ = 310759960734720. Its totient is φ = 49326722076800.

The previous prime is 135648837460163. The next prime is 135648837460189. The reversal of 135648837460180 is 81064738846531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135648837460189) 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, 142397901 + ... + 143347339.

It is an arithmetic number, because the mean of its divisors is an integer number (6474165848640).

Almost surely, 2135648837460180 is an apocalyptic number.

135648837460180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135648837460180 is an abundant number, since it is smaller than the sum of its proper divisors (175111123274540).

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

135648837460180 is a wasteful number, since it uses less digits than its factorization.

135648837460180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598880 (or 1598878 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 64.

The spelling of 135648837460180 in words is "one hundred thirty-five trillion, six hundred forty-eight billion, eight hundred thirty-seven million, four hundred sixty thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 649421 949439 1298842 1898878 2597684 3247105 3797756 4747195 6494210 7143631 9494390 10443829 12988420 14287262 18988780 20887658 28574524 35718155 41775316 52219145 71436310 104438290 142872620 208876580 616585624819 1233171249638 2466342499276 3082928124095 6165856248190 6782441873009 12331712496380 13564883746018 27129767492036 33912209365045 67824418730090 135648837460180