134410227120 has 800 divisors, whose sum is σ = 536399001600. Its totient is φ = 30918371328.

The previous prime is 134410227073. The next prime is 134410227179. The reversal of 134410227120 is 21722014431.

134410227120 is a `hidden beast` number, since 1 + 3 + 4 + 410 + 227 + 1 + 20 = 666.

It is a super-2 number, since 2×134410227120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126443709 + ... + 126444771.

It is an arithmetic number, because the mean of its divisors is an integer number (670498752).

Almost surely, 2^134410227120 is an apocalyptic number.

134410227120 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 134410227120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268199500800).

134410227120 is an abundant number, since it is smaller than the sum of its proper divisors (401988774480).

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

134410227120 is a wasteful number, since it uses less digits than its factorization.

134410227120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 134410227120 in words is "one hundred thirty-four billion, four hundred ten million, two hundred twenty-seven thousand, one hundred twenty".