134863803226152 has 1152 divisors, whose sum is σ = 521865806192640. Its totient is φ = 30379935375360.

The previous prime is 134863803226147. The next prime is 134863803226211. The reversal of 134863803226152 is 251622308368431.

134863803226152 is a `hidden beast` number, since 1 + 3 + 4 + 86 + 380 + 32 + 2 + 6 + 152 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12643081123 + ... + 12643091789.

It is an arithmetic number, because the mean of its divisors is an integer number (453008512320).

Almost surely, 2^{134863803226152} is an apocalyptic number.

134863803226152 is a gapful number since it is divisible by the number (12) 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 134863803226152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260932903096320).

134863803226152 is an abundant number, since it is smaller than the sum of its proper divisors (387002002966488).

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

134863803226152 is a wasteful number, since it uses less digits than its factorization.

134863803226152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11351 (or 11327 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 134863803226152 in words is "one hundred thirty-four trillion, eight hundred sixty-three billion, eight hundred three million, two hundred twenty-six thousand, one hundred fifty-two".