Search a number
-
+
134506874592 = 2533155679253
BaseRepresentation
bin111110101000100111…
…1000000011011100000
3110212012000102012022000
41331101033000123200
54200432224441332
6141442553044000
712501130366266
oct1752117003340
9425160365260
10134506874592
1152053695782
122209a0b6600
13c8b781742c
14671dc84436
15377385db7c
hex1f513c06e0

134506874592 has 48 divisors (see below), whose sum is σ = 392311720080. Its totient is φ = 44835624576.

The previous prime is 134506874573. The next prime is 134506874599. The reversal of 134506874592 is 295478605431.

It is a happy number.

134506874592 is a `hidden beast` number, since 1 + 3 + 4 + 506 + 8 + 7 + 45 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134506874599) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 77838763 + ... + 77840490.

It is an arithmetic number, because the mean of its divisors is an integer number (8173160835).

It is a 1-persistent number, because it is pandigital, but 2⋅134506874592 = 269013749184 is not.

Almost surely, 2134506874592 is an apocalyptic number.

134506874592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

134506874592 is an abundant number, since it is smaller than the sum of its proper divisors (257804845488).

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

134506874592 is a wasteful number, since it uses less digits than its factorization.

134506874592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155679272 (or 155679258 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 134506874592 in words is "one hundred thirty-four billion, five hundred six million, eight hundred seventy-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 155679253 311358506 467037759 622717012 934075518 1245434024 1401113277 1868151036 2490868048 2802226554 3736302072 4203339831 4981736096 5604453108 7472604144 8406679662 11208906216 14945208288 16813359324 22417812432 33626718648 44835624864 67253437296 134506874592