134915328 has 144 divisors (see below), whose sum is σ = 404712000. Its totient is φ = 44328960.

The previous prime is 134915321. The next prime is 134915351. The reversal of 134915328 is 823519431.

134915328 is a `hidden beast` number, since 1 + 34 + 91 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 134915292 and 134915301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134915321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 905398 + ... + 905546.

It is an arithmetic number, because the mean of its divisors is an integer number (2810500).

Almost surely, 2^134915328 is an apocalyptic number.

134915328 is a gapful number since it is divisible by the number (18) 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 134915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202356000).

134915328 is an abundant number, since it is smaller than the sum of its proper divisors (269796672).

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

134915328 is a wasteful number, since it uses less digits than its factorization.

134915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 285 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 134915328 is about 11615.3057643783. The cubic root of 134915328 is about 512.8855118815.

The spelling of 134915328 in words is "one hundred thirty-four million, nine hundred fifteen thousand, three hundred twenty-eight".