134224214080 has 224 divisors, whose sum is σ = 369487825920. Its totient is φ = 45930240000.

The previous prime is 134224214063. The next prime is 134224214081. The reversal of 134224214080 is 80412422431.

It is a super-2 number, since 2×134224214080² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134224214081) 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, 10092235 + ... + 10105525.

Almost surely, 2^134224214080 is an apocalyptic number.

134224214080 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 134224214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184743912960).

134224214080 is an abundant number, since it is smaller than the sum of its proper divisors (235263611840).

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

134224214080 is a wasteful number, since it uses less digits than its factorization.

134224214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13489 (or 13479 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The spelling of 134224214080 in words is "one hundred thirty-four billion, two hundred twenty-four million, two hundred fourteen thousand, eighty".