134328222720 has 1232 divisors, whose sum is σ = 536432070960. Its totient is φ = 32105299968.

The previous prime is 134328222619. The next prime is 134328222731. The reversal of 134328222720 is 27222823431.

134328222720 is a `hidden beast` number, since 1 + 343 + 28 + 22 + 272 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2018525184 + 132309697536 = 44928^2 + 363744^2 .

It is a super-2 number, since 2×134328222720² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 1840112604 + ... + 1840112676.

Almost surely, 2^134328222720 is an apocalyptic number.

134328222720 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 134328222720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268216035480).

134328222720 is an abundant number, since it is smaller than the sum of its proper divisors (402103848240).

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

134328222720 is an equidigital number, since it uses as much as digits as its factorization.

134328222720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 134328222720 in words is "one hundred thirty-four billion, three hundred twenty-eight million, two hundred twenty-two thousand, seven hundred twenty".