134026803226624 has 576 divisors, whose sum is σ = 349773206590080. Its totient is φ = 50734177320960.

The previous prime is 134026803226609. The next prime is 134026803226721. The reversal of 134026803226624 is 426622308620431.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34839302269 + ... + 34839306115.

It is an arithmetic number, because the mean of its divisors is an integer number (607245150330).

Almost surely, 2^{134026803226624} is an apocalyptic number.

134026803226624 is a gapful number since it is divisible by the number (14) 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 134026803226624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174886603295040).

134026803226624 is an abundant number, since it is smaller than the sum of its proper divisors (215746403363456).

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

134026803226624 is a wasteful number, since it uses less digits than its factorization.

134026803226624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4757 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 49.

The spelling of 134026803226624 in words is "one hundred thirty-four trillion, twenty-six billion, eight hundred three million, two hundred twenty-six thousand, six hundred twenty-four".