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134422126300 = 2252721117146701
BaseRepresentation
bin111110100110000101…
…1101101111011011100
3110211222002221112111101
41331030023231323130
54200244031020200
6141430324402444
712466051135600
oct1751413557334
9424862845441
10134422126300
115200a871070
1222075846424
13c8a30b3a07
146712903500
15376b1bd26a
hex1f4c2ededc

134422126300 has 216 divisors, whose sum is σ = 391944320208. Its totient is φ = 39432960000.

The previous prime is 134422126277. The next prime is 134422126303. The reversal of 134422126300 is 3621224431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134422126303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 842950 + ... + 989650.

It is an arithmetic number, because the mean of its divisors is an integer number (1814557038).

Almost surely, 2134422126300 is an apocalyptic number.

134422126300 is a gapful number since it is divisible by the number (10) 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 134422126300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195972160104).

134422126300 is an abundant number, since it is smaller than the sum of its proper divisors (257522193908).

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

134422126300 is a wasteful number, since it uses less digits than its factorization.

134422126300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146757 (or 146743 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 134422126300 in words is "one hundred thirty-four billion, four hundred twenty-two million, one hundred twenty-six thousand, three hundred".