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135245403664 = 2479754123011
BaseRepresentation
bin111110111110101000…
…0010001011000010000
3110221002111002100201121
41331331100101120100
54203440310404124
6142044134212024
712525335651260
oct1757520213020
9427074070647
10135245403664
11523a2560588
12222654b4014
13c9a4826997
14678ddab7a0
1537b85e22e4
hex1f7d411610

135245403664 has 80 divisors (see below), whose sum is σ = 303131737216. Its totient is φ = 57256243200.

The previous prime is 135245403659. The next prime is 135245403673. The reversal of 135245403664 is 466304542531.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 135245403664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5865919 + ... + 5888929.

Almost surely, 2135245403664 is an apocalyptic number.

135245403664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135245403664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151565868608).

135245403664 is an abundant number, since it is smaller than the sum of its proper divisors (167886333552).

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

135245403664 is a wasteful number, since it uses less digits than its factorization.

135245403664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23664 (or 23658 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 43.

The spelling of 135245403664 in words is "one hundred thirty-five billion, two hundred forty-five million, four hundred three thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 541 679 776 1082 1358 1552 2164 2716 3787 4328 5432 7574 8656 10864 15148 23011 30296 46022 52477 60592 92044 104954 161077 184088 209908 322154 367339 368176 419816 644308 734678 839632 1288616 1469356 2232067 2577232 2938712 4464134 5877424 8928268 12448951 15624469 17856536 24897902 31248938 35713072 49795804 62497876 87142657 99591608 124995752 174285314 199183216 249991504 348570628 697141256 1207548247 1394282512 2415096494 4830192988 8452837729 9660385976 16905675458 19320771952 33811350916 67622701832 135245403664