134462540800 has 264 divisors, whose sum is σ = 383769660384. Its totient is φ = 45756579840.

The previous prime is 134462540761. The next prime is 134462540833. The reversal of 134462540800 is 8045264431.

It is a super-4 number, since 4×134462540800⁴ (a number of 46 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134462540800.

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, 24547662 + ... + 24553138.

It is an arithmetic number, because the mean of its divisors is an integer number (1453672956).

Almost surely, 2^134462540800 is an apocalyptic number.

134462540800 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 134462540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191884830192).

134462540800 is an abundant number, since it is smaller than the sum of its proper divisors (249307119584).

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

134462540800 is a wasteful number, since it uses less digits than its factorization.

134462540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5651 (or 5628 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The spelling of 134462540800 in words is "one hundred thirty-four billion, four hundred sixty-two million, five hundred forty thousand, eight hundred".