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134564632352 = 253127161631
BaseRepresentation
bin111110101010010101…
…1010101011100100000
3110212100001002121001022
41331110223111130200
54201042021213402
6141452415025012
712502431334253
oct1752453253440
9425301077038
10134564632352
1152083254a67
12220b550b168
13c8c678a917
1467277db09a
15377896c2a2
hex1f54ad5720

134564632352 has 72 divisors (see below), whose sum is σ = 277605812736. Its totient is φ = 64193808000.

The previous prime is 134564632339. The next prime is 134564632357. The reversal of 134564632352 is 253236465431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134564632357) 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 11 ways as a sum of consecutive naturals, for example, 2152577 + ... + 2214207.

It is an arithmetic number, because the mean of its divisors is an integer number (3855636288).

Almost surely, 2134564632352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134564632352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138802906368).

134564632352 is an abundant number, since it is smaller than the sum of its proper divisors (143041180384).

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

134564632352 is an equidigital number, since it uses as much as digits as its factorization.

134564632352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61774 (or 61735 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 44.

The spelling of 134564632352 in words is "one hundred thirty-four billion, five hundred sixty-four million, six hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 31 32 62 71 124 142 248 284 496 568 961 992 1136 1922 2201 2272 3844 4402 7688 8804 15376 17608 30752 35216 61631 68231 70432 123262 136462 246524 272924 493048 545848 986096 1091696 1910561 1972192 2183392 3821122 4375801 7642244 8751602 15284488 17503204 30568976 35006408 59227391 61137952 70012816 118454782 135649831 140025632 236909564 271299662 473819128 542599324 947638256 1085198648 1895276512 2170397296 4205144761 4340794592 8410289522 16820579044 33641158088 67282316176 134564632352