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134046131232 = 25313136178919
BaseRepresentation
bin111110011010111000…
…1011010010000100000
3110210222220110000020010
41330311301122100200
54144011302144412
6141325133444520
712453534213216
oct1746561322040
9423886400203
10134046131232
1151937601442
1221b8b940740
13c843228720
1466b89cacb6
15374819c33c
hex1f35c5a420

134046131232 has 96 divisors (see below), whose sum is σ = 379221333120. Its totient is φ = 41214136320.

The previous prime is 134046131179. The next prime is 134046131243. The reversal of 134046131232 is 232131640431.

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

It is a self number, because there is not a number n which added to its sum of digits gives 134046131232.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1659069 + ... + 1737987.

It is an arithmetic number, because the mean of its divisors is an integer number (3950222220).

Almost surely, 2134046131232 is an apocalyptic number.

134046131232 is a gapful number since it is divisible by the number (12) 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 134046131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189610666560).

134046131232 is an abundant number, since it is smaller than the sum of its proper divisors (245175201888).

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

134046131232 is a wasteful number, since it uses less digits than its factorization.

134046131232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80306 (or 80298 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 134046131232 its reverse (232131640431), we get a palindrome (366177771663).

The spelling of 134046131232 in words is "one hundred thirty-four billion, forty-six million, one hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1361 2722 4083 5444 8166 10888 16332 17693 21776 32664 35386 43552 53079 65328 70772 78919 106158 130656 141544 157838 212316 236757 283088 315676 424632 473514 566176 631352 849264 947028 1025947 1262704 1698528 1894056 2051894 2525408 3077841 3788112 4103788 6155682 7576224 8207576 12311364 16415152 24622728 32830304 49245456 98490912 107408759 214817518 322226277 429635036 644452554 859270072 1288905108 1396313867 1718540144 2577810216 2792627734 3437080288 4188941601 5155620432 5585255468 8377883202 10311240864 11170510936 16755766404 22341021872 33511532808 44682043744 67023065616 134046131232