134515200 has 240 divisors, whose sum is σ = 462756096. Its totient is φ = 34406400.

The previous prime is 134515181. The next prime is 134515207. The reversal of 134515200 is 2515431.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (134515207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1190344 + ... + 1190456.

Almost surely, 2^134515200 is an apocalyptic number.

134515200 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 134515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231378048).

134515200 is an abundant number, since it is smaller than the sum of its proper divisors (328240896).

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

134515200 is a wasteful number, since it uses less digits than its factorization.

134515200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 134515200 is about 11598.0688047623. The cubic root of 134515200 is about 512.3779761046.

The spelling of 134515200 in words is "one hundred thirty-four million, five hundred fifteen thousand, two hundred".