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134919574596 = 223229221112
BaseRepresentation
bin111110110100111010…
…1010101010001000100
3110220020202222112021100
41331221311111101010
54202303402341341
6141551534420100
712514301314302
oct1755165252104
9426222875240
10134919574596
1152245645364
1222194361630
13c952184511
14675c9d3272
153799bd03b6
hex1f69d55444

134919574596 has 81 divisors (see below), whose sum is σ = 353379858013. Its totient is φ = 43401822240.

The previous prime is 134919574549. The next prime is 134919574651. The reversal of 134919574596 is 695475919431.

The square root of 134919574596 is 367314.

It is a perfect power (a square), and thus also a powerful number.

134919574596 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 1 + 9 + 574 + 59 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70748552196 + 64171022400 = 265986^2 + 253320^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 63911581 + ... + 63913691.

Almost surely, 2134919574596 is an apocalyptic number.

134919574596 is the 367314-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134919574596

134919574596 is an abundant number, since it is smaller than the sum of its proper divisors (218460283417).

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

134919574596 is an equidigital number, since it uses as much as digits as its factorization.

134919574596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 2145 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 134919574596 in words is "one hundred thirty-four billion, nine hundred nineteen million, five hundred seventy-four thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 841 1044 1682 2111 2523 3364 4222 5046 6333 7569 8444 10092 12666 15138 18999 25332 30276 37998 61219 75996 122438 183657 244876 367314 550971 734628 1101942 1775351 2203884 3550702 4456321 5326053 7101404 8912642 10652106 13368963 15978159 17825284 21304212 26737926 31956318 40106889 53475852 63912636 80213778 129233309 160427556 258466618 387699927 516933236 775399854 1163099781 1550799708 2326199562 3747765961 4652399124 7495531922 11243297883 14991063844 22486595766 33729893649 44973191532 67459787298 134919574596