134753447473920 has 720 divisors, whose sum is σ = 526122776729088. Its totient is φ = 32660271636480.

The previous prime is 134753447473901. The next prime is 134753447473963. The reversal of 134753447473920 is 29374744357431.

134753447473920 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 5 + 3 + 4 + 474 + 73 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×134753447473920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6622757187 + ... + 6622777533.

Almost surely, 2^{134753447473920} is an apocalyptic number.

134753447473920 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 134753447473920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263061388364544).

134753447473920 is an abundant number, since it is smaller than the sum of its proper divisors (391369329255168).

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

134753447473920 is a wasteful number, since it uses less digits than its factorization.

134753447473920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26198 (or 26175 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 63.

The spelling of 134753447473920 in words is "one hundred thirty-four trillion, seven hundred fifty-three billion, four hundred forty-seven million, four hundred seventy-three thousand, nine hundred twenty".