134729436223200 has 1152 divisors, whose sum is σ = 550313121705984. Its totient is φ = 27870695424000.

The previous prime is 134729436223141. The next prime is 134729436223237. The reversal of 134729436223200 is 2322634927431.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 134729436223200.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 21657196090 + ... + 21657202310.

It is an arithmetic number, because the mean of its divisors is an integer number (477702362592).

Almost surely, 2^{134729436223200} is an apocalyptic number.

134729436223200 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 134729436223200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275156560852992).

134729436223200 is an abundant number, since it is smaller than the sum of its proper divisors (415583685482784).

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

134729436223200 is a wasteful number, since it uses less digits than its factorization.

134729436223200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8188 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 134729436223200 in words is "one hundred thirty-four trillion, seven hundred twenty-nine billion, four hundred thirty-six million, two hundred twenty-three thousand, two hundred".