134004920256 has 168 divisors, whose sum is σ = 407235263760. Its totient is φ = 41984925696.

The previous prime is 134004920233. The next prime is 134004920261. The reversal of 134004920256 is 652029400431.

It is a happy number.

134004920256 is a `hidden beast` number, since 1 + 3 + 400 + 49 + 202 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 134004920256.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 7697610 + ... + 7714998.

Almost surely, 2^134004920256 is an apocalyptic number.

134004920256 is a gapful number since it is divisible by the number (16) 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 134004920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203617631880).

134004920256 is an abundant number, since it is smaller than the sum of its proper divisors (273230343504).

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

134004920256 is a wasteful number, since it uses less digits than its factorization.

134004920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18211 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 134004920256 in words is "one hundred thirty-four billion, four million, nine hundred twenty thousand, two hundred fifty-six".