134357120 has 128 divisors (see below), whose sum is σ = 347995440. Its totient is φ = 49414144.

The previous prime is 134357089. The next prime is 134357129. The reversal of 134357120 is 21753431.

It can be written as a sum of positive squares in 8 ways, for example, as 71503936 + 62853184 = 8456^2 + 7928^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 134357120.

It is not an unprimeable number, because it can be changed into a prime (134357129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576524 + ... + 576756.

Almost surely, 2^134357120 is an apocalyptic number.

134357120 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 134357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173997720).

134357120 is an abundant number, since it is smaller than the sum of its proper divisors (213638320).

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

134357120 is a wasteful number, since it uses less digits than its factorization.

134357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 134357120 is about 11591.2518737192. The cubic root of 134357120 is about 512.1771847694.

The spelling of 134357120 in words is "one hundred thirty-four million, three hundred fifty-seven thousand, one hundred twenty".