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134239193088 = 21137111322373
BaseRepresentation
bin111110100000101000…
…1111000100000000000
3110211111100201120022020
41331001101320200000
54144410213134323
6141400231441440
712461400212610
oct1750121704000
9424440646266
10134239193088
1151a265856a0
1222024526280
13c874223a00
1466d64c4a40
15375a0d5ae3
hex1f41478800

134239193088 has 1152 divisors, whose sum is σ = 511068579840. Its totient is φ = 30364139520.

The previous prime is 134239193087. The next prime is 134239193107. The reversal of 134239193088 is 880391932431.

It is a self number, because there is not a number n which added to its sum of digits gives 134239193088.

It is not an unprimeable number, because it can be changed into a prime (134239193087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1838893020 + ... + 1838893092.

It is an arithmetic number, because the mean of its divisors is an integer number (443635920).

Almost surely, 2134239193088 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 134239193088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255534289920).

134239193088 is an abundant number, since it is smaller than the sum of its proper divisors (376829386752).

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

134239193088 is a wasteful number, since it uses less digits than its factorization.

134239193088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 134239193088 in words is "one hundred thirty-four billion, two hundred thirty-nine million, one hundred ninety-three thousand, eighty-eight".