134964910080000 has 8100 divisors, whose sum is σ = 706180295500680. Its totient is φ = 24524881920000.

The previous prime is 134964910079971. The next prime is 134964910080017. The reversal of 134964910080000 is 80019469431.

134964910080000 is a `hidden beast` number, since 13 + 496 + 49 + 100 + 8 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 7103416319991 + ... + 7103416320009.

Almost surely, 2^{134964910080000} is an apocalyptic number.

134964910080000 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 134964910080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353090147750340).

134964910080000 is an abundant number, since it is smaller than the sum of its proper divisors (571215385420680).

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

134964910080000 is a wasteful number, since it uses less digits than its factorization.

134964910080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 134964910080000 in words is "one hundred thirty-four trillion, nine hundred sixty-four billion, nine hundred ten million, eighty thousand".