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135656010144 = 2533157009271
BaseRepresentation
bin111111001010110111…
…0100111000110100000
3110222011002201022221000
41332111232213012200
54210310414311034
6142153003032000
712541453026564
oct1762556470640
9428132638830
10135656010144
1152593310286
122235ab0b600
13ca3b90cbb5
1467cc7336a4
1537de69d599
hex1f95ba71a0

135656010144 has 48 divisors (see below), whose sum is σ = 395663365440. Its totient is φ = 45218669760.

The previous prime is 135656010109. The next prime is 135656010167. The reversal of 135656010144 is 441010656531.

135656010144 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 5 + 601 + 0 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135656010099 and 135656010108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78503772 + ... + 78505499.

It is an arithmetic number, because the mean of its divisors is an integer number (8242986780).

Almost surely, 2135656010144 is an apocalyptic number.

It is an amenable number.

135656010144 is an abundant number, since it is smaller than the sum of its proper divisors (260007355296).

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

135656010144 is a wasteful number, since it uses less digits than its factorization.

135656010144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157009290 (or 157009276 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 135656010144 its reverse (441010656531), we get a palindrome (576666666675).

The spelling of 135656010144 in words is "one hundred thirty-five billion, six hundred fifty-six million, ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 157009271 314018542 471027813 628037084 942055626 1256074168 1413083439 1884111252 2512148336 2826166878 3768222504 4239250317 5024296672 5652333756 7536445008 8478500634 11304667512 15072890016 16957001268 22609335024 33914002536 45218670048 67828005072 135656010144