134940962016 has 864 divisors, whose sum is σ = 500065423200. Its totient is φ = 35270000640.

The previous prime is 134940961963. The next prime is 134940962021. The reversal of 134940962016 is 610269049431.

134940962016 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 4 + 0 + 9 + 620 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 501639130 + ... + 501639398.

It is an arithmetic number, because the mean of its divisors is an integer number (578779425).

Almost surely, 2^134940962016 is an apocalyptic number.

134940962016 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 134940962016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250032711600).

134940962016 is an abundant number, since it is smaller than the sum of its proper divisors (365124461184).

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

134940962016 is a wasteful number, since it uses less digits than its factorization.

134940962016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 134940962016 in words is "one hundred thirty-four billion, nine hundred forty million, nine hundred sixty-two thousand, sixteen".