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135044213652 = 22323751228157
BaseRepresentation
bin111110111000101000…
…0110010101110010100
3110220120110111211220200
41331301100302232110
54203032304314102
6142012150100500
712520343606415
oct1756120625624
9426513454820
10135044213652
11522a9a35547
122220a04a730
13c971c43b3a
14677139980c
1537a5b0051c
hex1f71432b94

135044213652 has 18 divisors (see below), whose sum is σ = 341361762378. Its totient is φ = 45014737872.

The previous prime is 135044213621. The next prime is 135044213653. The reversal of 135044213652 is 256312440531.

135044213652 is a `hidden beast` number, since 1 + 35 + 0 + 442 + 136 + 52 = 666.

135044213652 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 118689896196 + 16354317456 = 344514^2 + 127884^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3751228157 = 135044213652 / (1 + 3 + 5 + 0 + 4 + 4 + 2 + 1 + 3 + 6 + 5 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135044213653) 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 5 ways as a sum of consecutive naturals, for example, 1875614043 + ... + 1875614114.

Almost surely, 2135044213652 is an apocalyptic number.

135044213652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135044213652 is an abundant number, since it is smaller than the sum of its proper divisors (206317548726).

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

135044213652 is a wasteful number, since it uses less digits than its factorization.

135044213652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3751228167 (or 3751228162 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 135044213652 in words is "one hundred thirty-five billion, forty-four million, two hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 3751228157 7502456314 11253684471 15004912628 22507368942 33761053413 45014737884 67522106826 135044213652