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136148115168 = 25341319297333
BaseRepresentation
bin111111011001100001…
…1110101111011100000
3111000102101200212010000
41332303003311323200
54212312404141133
6142313502340000
712556606612242
oct1766303657340
9430371625100
10136148115168
115281607504a
122247788a600
13cab985c5c0
146837c32092
15381c9a7413
hex1fb30f5ee0

136148115168 has 480 divisors, whose sum is σ = 469619488800. Its totient is φ = 38313160704.

The previous prime is 136148115163. The next prime is 136148115211. The reversal of 136148115168 is 861511841631.

136148115168 is a `hidden beast` number, since 1 + 3 + 6 + 1 + 481 + 1 + 5 + 168 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136148115163) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18562830 + ... + 18570162.

It is an arithmetic number, because the mean of its divisors is an integer number (978373935).

Almost surely, 2136148115168 is an apocalyptic number.

136148115168 is a gapful number since it is divisible by the number (18) 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 136148115168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234809744400).

136148115168 is an abundant number, since it is smaller than the sum of its proper divisors (333471373632).

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

136148115168 is a wasteful number, since it uses less digits than its factorization.

136148115168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7416 (or 7399 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

Adding to 136148115168 its reverse (861511841631), we get a palindrome (997659956799).

The spelling of 136148115168 in words is "one hundred thirty-six billion, one hundred forty-eight million, one hundred fifteen thousand, one hundred sixty-eight".