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134025368064 = 2937292291877
BaseRepresentation
bin111110011010010001…
…0001101001000000000
3110210221110101010111220
41330310202031020000
54143440443234224
6141323112435040
712453162555210
oct1746442151000
9423843333456
10134025368064
115192690a7a5
1221b849a8a80
13c83bb38b23
1466b5d44240
15374644a279
hex1f3488d200

134025368064 has 320 divisors, whose sum is σ = 424199635200. Its totient is φ = 36791451648.

The previous prime is 134025368063. The next prime is 134025368083. The reversal of 134025368064 is 460863520431.

It is a super-2 number, since 2×1340253680642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (134025368063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71403094 + ... + 71404970.

It is an arithmetic number, because the mean of its divisors is an integer number (1325623860).

Almost surely, 2134025368064 is an apocalyptic number.

134025368064 is a gapful number since it is divisible by the number (14) 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 134025368064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212099817600).

134025368064 is an abundant number, since it is smaller than the sum of its proper divisors (290174267136).

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

134025368064 is a wasteful number, since it uses less digits than its factorization.

134025368064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2163 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

Adding to 134025368064 its reverse (460863520431), we get a palindrome (594888888495).

The spelling of 134025368064 in words is "one hundred thirty-four billion, twenty-five million, three hundred sixty-eight thousand, sixty-four".