134223747840 has 1728 divisors, whose sum is σ = 610452864000. Its totient is φ = 27897053184.

The previous prime is 134223747817. The next prime is 134223747841. The reversal of 134223747840 is 48747322431.

134223747840 is a `hidden beast` number, since 1 + 342 + 237 + 4 + 78 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (134223747841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2003339487 + ... + 2003339553.

Almost surely, 2^134223747840 is an apocalyptic number.

134223747840 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 134223747840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305226432000).

134223747840 is an abundant number, since it is smaller than the sum of its proper divisors (476229116160).

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

134223747840 is an equidigital number, since it uses as much as digits as its factorization.

134223747840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 134223747840 in words is "one hundred thirty-four billion, two hundred twenty-three million, seven hundred forty-seven thousand, eight hundred forty".