134246265651300 has 288 divisors, whose sum is σ = 430725925776384. Its totient is φ = 32007352896000.

The previous prime is 134246265651149. The next prime is 134246265651313. The reversal of 134246265651300 is 3156562642431.

It is a self number, because there is not a number n which added to its sum of digits gives 134246265651300.

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 95 ways as a sum of consecutive naturals, for example, 2014375779 + ... + 2014442421.

It is an arithmetic number, because the mean of its divisors is an integer number (1495576131168).

Almost surely, 2^{134246265651300} is an apocalyptic number.

134246265651300 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 134246265651300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215362962888192).

134246265651300 is an abundant number, since it is smaller than the sum of its proper divisors (296479660125084).

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

134246265651300 is a wasteful number, since it uses less digits than its factorization.

134246265651300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76739 (or 76732 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 134246265651300 in words is "one hundred thirty-four trillion, two hundred forty-six billion, two hundred sixty-five million, six hundred fifty-one thousand, three hundred".