134430464243200 has 240 divisors, whose sum is σ = 340578752033520. Its totient is φ = 52568690688000.

The previous prime is 134430464243189. The next prime is 134430464243227. The reversal of 134430464243200 is 2342464034431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 136199470 + ... + 137182930.

It is an arithmetic number, because the mean of its divisors is an integer number (1419078133473).

Almost surely, 2^{134430464243200} is an apocalyptic number.

134430464243200 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 134430464243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170289376016760).

134430464243200 is an abundant number, since it is smaller than the sum of its proper divisors (206148287790320).

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

134430464243200 is an equidigital number, since it uses as much as digits as its factorization.

134430464243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983729 (or 983708 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

The spelling of 134430464243200 in words is "one hundred thirty-four trillion, four hundred thirty billion, four hundred sixty-four million, two hundred forty-three thousand, two hundred".