134953728 has 144 divisors (see below), whose sum is σ = 442288896. Its totient is φ = 35573760.

The previous prime is 134953727. The next prime is 134953759. The reversal of 134953728 is 827359431.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 134953728.

It is not an unprimeable number, because it can be changed into a prime (134953723) 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, 68923 + ... + 70853.

Almost surely, 2^134953728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134953728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221144448).

134953728 is an abundant number, since it is smaller than the sum of its proper divisors (307335168).

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

134953728 is a wasteful number, since it uses less digits than its factorization.

134953728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1956 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 134953728 is about 11616.9586381290. The cubic root of 134953728 is about 512.9341669298.

The spelling of 134953728 in words is "one hundred thirty-four million, nine hundred fifty-three thousand, seven hundred twenty-eight".