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135237552464 = 24710273117539
BaseRepresentation
bin111110111110011001…
…0010100100101010000
3110221001221022110220102
41331330302110211100
54203431303134324
6142043254031532
712525212141420
oct1757462244520
9427057273812
10135237552464
1152399088893
12222629485a8
13c9a30081c1
14678cd26480
1537b7a90dae
hex1f7cc94950

135237552464 has 40 divisors (see below), whose sum is σ = 299486278080. Its totient is φ = 57952816128.

The previous prime is 135237552353. The next prime is 135237552467. The reversal of 135237552464 is 464255732531.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135237552467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091807 + ... + 1209345.

It is an arithmetic number, because the mean of its divisors is an integer number (7487156952).

Almost surely, 2135237552464 is an apocalyptic number.

135237552464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135237552464 is an abundant number, since it is smaller than the sum of its proper divisors (164248725616).

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

135237552464 is a wasteful number, since it uses less digits than its factorization.

135237552464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127827 (or 127821 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 47.

The spelling of 135237552464 in words is "one hundred thirty-five billion, two hundred thirty-seven million, five hundred fifty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 10273 20546 41092 71911 82184 117539 143822 164368 235078 287644 470156 575288 822773 940312 1150576 1645546 1880624 3291092 6582184 13164368 1207478147 2414956294 4829912588 8452347029 9659825176 16904694058 19319650352 33809388116 67618776232 135237552464