134837120 has 128 divisors (see below), whose sum is σ = 356918400. Its totient is φ = 48302080.

The previous prime is 134837119. The next prime is 134837147. The reversal of 134837120 is 21738431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 753191 + ... + 753369.

It is an arithmetic number, because the mean of its divisors is an integer number (2788425).

Almost surely, 2^134837120 is an apocalyptic number.

134837120 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 134837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178459200).

134837120 is an abundant number, since it is smaller than the sum of its proper divisors (222081280).

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

134837120 is a wasteful number, since it uses less digits than its factorization.

134837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 134837120 is about 11611.9386839580. The cubic root of 134837120 is about 512.7863892098.

The spelling of 134837120 in words is "one hundred thirty-four million, eight hundred thirty-seven thousand, one hundred twenty".