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135134521131441 = 31313198032698183
BaseRepresentation
bin11110101110011101110101…
…001000010000000110110001
3122201110201211010100221012110
4132232131311020100012301
5120203020444402201231
61155223535245115533
740315101260212326
oct3656356510200661
9581421733327173
10135134521131441
113a070257257887
12131a5b85858ba9
135a531910b5b80
14255278d65ab4d
15109525b9e3046
hex7ae7752101b1

135134521131441 has 32 divisors (see below), whose sum is σ = 195540545958912. Its totient is φ = 82516449487680.

The previous prime is 135134521131409. The next prime is 135134521131443. The reversal of 135134521131441 is 144131125431531.

It is not a de Polignac number, because 135134521131441 - 25 = 135134521131409 is a prime.

It is a super-2 number, since 2×1351345211314412 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 135134521131441.

It is not an unprimeable number, because it can be changed into a prime (135134521131443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48734436 + ... + 51432618.

It is an arithmetic number, because the mean of its divisors is an integer number (6110642061216).

Almost surely, 2135134521131441 is an apocalyptic number.

It is an amenable number.

135134521131441 is a deficient number, since it is larger than the sum of its proper divisors (60406024827471).

135134521131441 is a wasteful number, since it uses less digits than its factorization.

135134521131441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708133.

The product of its digits is 86400, while the sum is 39.

Adding to 135134521131441 its reverse (144131125431531), we get a palindrome (279265646562972).

The spelling of 135134521131441 in words is "one hundred thirty-five trillion, one hundred thirty-four billion, five hundred twenty-one million, one hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 13 39 131 393 1703 5109 9803 29409 127439 382317 1284193 2698183 3852579 8094549 16694509 35076379 50083527 105229137 353461973 1060385919 4595005649 13785016947 26450287949 79350863847 343853743337 1031561230011 3464987721319 10394963163957 45044840377147 135134521131441