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134237601792 = 214327130051
BaseRepresentation
bin111110100000100101…
…1110100000000000000
3110211111020201201110100
41331001023310000000
54144404311224132
6141400133402400
712461350534350
oct1750113640000
9424436651410
10134237601792
1151a25699078
1222023a99400
13c873ab7608
1466d61ccb60
153759dbe37c
hex1f412f4000

134237601792 has 180 divisors, whose sum is σ = 443187043936. Its totient is φ = 38353305600.

The previous prime is 134237601769. The next prime is 134237601793. The reversal of 134237601792 is 297106732431.

134237601792 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 37 + 601 + 7 + 9 + 2 = 666.

It is a super-2 number, since 2×1342376017922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134237601793) 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 11 ways as a sum of consecutive naturals, for example, 967167 + ... + 1097217.

Almost surely, 2134237601792 is an apocalyptic number.

134237601792 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 134237601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221593521968).

134237601792 is an abundant number, since it is smaller than the sum of its proper divisors (308949442144).

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

134237601792 is an equidigital number, since it uses as much as digits as its factorization.

134237601792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130092 (or 130063 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 134237601792 in words is "one hundred thirty-four billion, two hundred thirty-seven million, six hundred one thousand, seven hundred ninety-two".