134657952 has 192 divisors, whose sum is σ = 440463744. Its totient is φ = 35389440.

The previous prime is 134657951. The next prime is 134657953. The reversal of 134657952 is 259756431.

134657952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134657951) and next prime (134657953).

It is not an unprimeable number, because it can be changed into a prime (134657951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233088 + ... + 233664.

It is an arithmetic number, because the mean of its divisors is an integer number (2294082).

Almost surely, 2^134657952 is an apocalyptic number.

134657952 is a gapful number since it is divisible by the number (12) 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 134657952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220231872).

134657952 is an abundant number, since it is smaller than the sum of its proper divisors (305805792).

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

134657952 is a wasteful number, since it uses less digits than its factorization.

134657952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 134657952 is about 11604.2213008887. The cubic root of 134657952 is about 512.5591628706.

The spelling of 134657952 in words is "one hundred thirty-four million, six hundred fifty-seven thousand, nine hundred fifty-two".