134157200 has 120 divisors (see below), whose sum is σ = 346305960. Its totient is φ = 49766400.

The previous prime is 134157187. The next prime is 134157211. The reversal of 134157200 is 2751431.

It can be written as a sum of positive squares in 12 ways, for example, as 46022656 + 88134544 = 6784^2 + 9388^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741110 + ... + 741290.

It is an arithmetic number, because the mean of its divisors is an integer number (2885883).

Almost surely, 2^134157200 is an apocalyptic number.

134157200 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 134157200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173152980).

134157200 is an abundant number, since it is smaller than the sum of its proper divisors (212148760).

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

134157200 is a wasteful number, since it uses less digits than its factorization.

134157200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 134157200 is about 11582.6249183853. The cubic root of 134157200 is about 511.9230230954.

The spelling of 134157200 in words is "one hundred thirty-four million, one hundred fifty-seven thousand, two hundred".