134157600 has 144 divisors (see below), whose sum is σ = 485281440. Its totient is φ = 35769600.

The previous prime is 134157587. The next prime is 134157601. The reversal of 134157600 is 6751431.

134157600 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 57 + 600 = 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 (27).

It is not an unprimeable number, because it can be changed into a prime (134157601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18495 + ... + 24705.

It is an arithmetic number, because the mean of its divisors is an integer number (3370010).

Almost surely, 2^134157600 is an apocalyptic number.

134157600 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 134157600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242640720).

134157600 is an abundant number, since it is smaller than the sum of its proper divisors (351123840).

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

134157600 is a wasteful number, since it uses less digits than its factorization.

134157600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6240 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 134157600 is about 11582.6421856155. The cubic root of 134157600 is about 511.9235318742.

The spelling of 134157600 in words is "one hundred thirty-four million, one hundred fifty-seven thousand, six hundred".