134912889120 has 96 divisors (see below), whose sum is σ = 426035998080. Its totient is φ = 35887001600.

The previous prime is 134912889113. The next prime is 134912889121. The reversal of 134912889120 is 21988219431.

It is a happy number.

134912889120 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 (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 134912889120.

It is not an unprimeable number, because it can be changed into a prime (134912889121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157980 + ... + 542939.

It is an arithmetic number, because the mean of its divisors is an integer number (4437874980).

Almost surely, 2^134912889120 is an apocalyptic number.

134912889120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134912889120 is an abundant number, since it is smaller than the sum of its proper divisors (291123108960).

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

134912889120 is a wasteful number, since it uses less digits than its factorization.

134912889120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701338 (or 701330 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 134912889120 in words is "one hundred thirty-four billion, nine hundred twelve million, eight hundred eighty-nine thousand, one hundred twenty".