134960572948000 has 192 divisors, whose sum is σ = 335368004680800. Its totient is φ = 53370652262400.

The previous prime is 134960572947973. The next prime is 134960572948037. The reversal of 134960572948000 is 849275069431.

It can be written as a sum of positive squares in 16 ways, for example, as 19031336450064 + 115929236497936 = 4362492^2 + 10767044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3338191786 + ... + 3338232214.

It is a 1-persistent number, because it is pandigital, but 2⋅134960572948000 = 269921145896000 is not.

Almost surely, 2^{134960572948000} is an apocalyptic number.

134960572948000 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 134960572948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167684002340400).

134960572948000 is an abundant number, since it is smaller than the sum of its proper divisors (200407431732800).

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

134960572948000 is an equidigital number, since it uses as much as digits as its factorization.

134960572948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49920 (or 49902 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 58.

The spelling of 134960572948000 in words is "one hundred thirty-four trillion, nine hundred sixty billion, five hundred seventy-two million, nine hundred forty-eight thousand".