134868285600 has 288 divisors, whose sum is σ = 451593971136. Its totient is φ = 34936012800.

The previous prime is 134868285583. The next prime is 134868285611. The reversal of 134868285600 is 6582868431.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103984152 + ... + 103985448.

It is an arithmetic number, because the mean of its divisors is an integer number (1568034622).

Almost surely, 2^134868285600 is an apocalyptic number.

134868285600 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 134868285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225796985568).

134868285600 is an abundant number, since it is smaller than the sum of its proper divisors (316725685536).

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

134868285600 is a wasteful number, since it uses less digits than its factorization.

134868285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2528 (or 2515 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 134868285600 in words is "one hundred thirty-four billion, eight hundred sixty-eight million, two hundred eighty-five thousand, six hundred".