134905733760 has 192 divisors, whose sum is σ = 500218420320. Its totient is φ = 30835574784.

The previous prime is 134905733713. The next prime is 134905733777. The reversal of 134905733760 is 67337509431.

134905733760 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622894 + ... + 811053.

Almost surely, 2^134905733760 is an apocalyptic number.

134905733760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134905733760 is an abundant number, since it is smaller than the sum of its proper divisors (365312686560).

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

134905733760 is a wasteful number, since it uses less digits than its factorization.

134905733760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1433983 (or 1433964 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 48.

The spelling of 134905733760 in words is "one hundred thirty-four billion, nine hundred five million, seven hundred thirty-three thousand, seven hundred sixty".