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135245400444 = 223271148789827
BaseRepresentation
bin111110111110101000…
…0010000100101111100
3110221002111002012022100
41331331100100211330
54203440310303234
6142044134145100
712525335636010
oct1757520204574
9427074065270
10135245400444
11523a2559120
12222654b2190
13c9a482538b
14678ddaa540
1537b85e1399
hex1f7d41097c

135245400444 has 72 divisors (see below), whose sum is σ = 426227937408. Its totient is φ = 35128674720.

The previous prime is 135245400427. The next prime is 135245400491. The reversal of 135245400444 is 444004542531.

135245400444 is a `hidden beast` number, since 1 + 3 + 5 + 245 + 400 + 4 + 4 + 4 = 666.

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 = 135245400399 and 135245400408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24392142 + ... + 24397685.

It is an arithmetic number, because the mean of its divisors is an integer number (5919832464).

Almost surely, 2135245400444 is an apocalyptic number.

135245400444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135245400444 is an abundant number, since it is smaller than the sum of its proper divisors (290982536964).

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

135245400444 is a wasteful number, since it uses less digits than its factorization.

135245400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48789855 (or 48789850 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

Adding to 135245400444 its reverse (444004542531), we get a palindrome (579249942975).

The spelling of 135245400444 in words is "one hundred thirty-five billion, two hundred forty-five million, four hundred thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 48789827 97579654 146369481 195159308 292738962 341528789 439108443 536688097 585477924 683057578 878216886 1024586367 1073376194 1366115156 1610064291 1756433772 2049172734 2146752388 3073759101 3220128582 3756816679 4098345468 4830192873 6147518202 6440257164 7513633358 9660385746 11270450037 12295036404 15027266716 19320771492 22540900074 33811350111 45081800148 67622700222 135245400444