134709120 has 384 divisors, whose sum is σ = 574741440. Its totient is φ = 28311552.

The previous prime is 134709109. The next prime is 134709131. The reversal of 134709120 is 21907431.

It is an interprime number because it is at equal distance from previous prime (134709109) and next prime (134709131).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×134709120³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524032 + ... + 524288.

Almost surely, 2^134709120 is an apocalyptic number.

134709120 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 134709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287370720).

134709120 is an abundant number, since it is smaller than the sum of its proper divisors (440032320).

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

134709120 is a wasteful number, since it uses less digits than its factorization.

134709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 134709120 is about 11606.4258064229. The cubic root of 134709120 is about 512.6240762447.

The spelling of 134709120 in words is "one hundred thirty-four million, seven hundred nine thousand, one hundred twenty".