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134458148736 = 2732220352981
BaseRepresentation
bin111110100111001010…
…1001000011110000000
3110212001121201122222200
41331032111020132000
54200332241224421
6141434052433200
712466666256352
oct1751625103600
9425047648880
10134458148736
115202913527a
1222085918800
13c8aa6b6c72
1467175dd0d2
15376e436726
hex1f4e548780

134458148736 has 96 divisors (see below), whose sum is σ = 387100267320. Its totient is φ = 44798192640.

The previous prime is 134458148731. The next prime is 134458148743. The reversal of 134458148736 is 637841854431.

134458148736 is a `hidden beast` number, since 13 + 4 + 4 + 581 + 48 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134458148731) 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 11 ways as a sum of consecutive naturals, for example, 2511366 + ... + 2564346.

Almost surely, 2134458148736 is an apocalyptic number.

134458148736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134458148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193550133660).

134458148736 is an abundant number, since it is smaller than the sum of its proper divisors (252642118584).

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

134458148736 is a wasteful number, since it uses less digits than its factorization.

134458148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55204 (or 55189 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 134458148736 in words is "one hundred thirty-four billion, four hundred fifty-eight million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2203 4406 6609 8812 13218 17624 19827 26436 35248 39654 52872 52981 70496 79308 105744 105962 140992 158616 158943 211488 211924 281984 317232 317886 422976 423848 476829 634464 635772 845952 847696 953658 1268928 1271544 1695392 1907316 2537856 2543088 3390784 3814632 5086176 6781568 7629264 10172352 15258528 20344704 30517056 61034112 116717143 233434286 350151429 466868572 700302858 933737144 1050454287 1400605716 1867474288 2100908574 2801211432 3734948576 4201817148 5602422864 7469897152 8403634296 11204845728 14939794304 16807268592 22409691456 33614537184 44819382912 67229074368 134458148736