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134331531264 = 21532765071
BaseRepresentation
bin111110100011011001…
…0001000000000000000
3110211201210110211110200
41331012302020000000
54200102333000024
6141413330525200
712463601114250
oct1750662100000
9424653424420
10134331531264
1151a73713737
122204b436800
13c88a3b3c98
14670487d960
1537632752c9
hex1f46c88000

134331531264 has 192 divisors, whose sum is σ = 443507326080. Its totient is φ = 38379847680.

The previous prime is 134331531247. The next prime is 134331531281. The reversal of 134331531264 is 462135133431.

134331531264 is a `hidden beast` number, since 1 + 3 + 4 + 331 + 5 + 312 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (134331531247) and next prime (134331531281).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2031849 + ... + 2096919.

It is an arithmetic number, because the mean of its divisors is an integer number (2309933990).

Almost surely, 2134331531264 is an apocalyptic number.

134331531264 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 134331531264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221753663040).

134331531264 is an abundant number, since it is smaller than the sum of its proper divisors (309175794816).

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

134331531264 is an frugal number, since it uses more digits than its factorization.

134331531264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65114 (or 65083 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

Adding to 134331531264 its reverse (462135133431), we get a palindrome (596466664695).

The spelling of 134331531264 in words is "one hundred thirty-four billion, three hundred thirty-one million, five hundred thirty-one thousand, two hundred sixty-four".