134857200 has 120 divisors (see below), whose sum is σ = 442690416. Its totient is φ = 35072000.

The previous prime is 134857199. The next prime is 134857201. The reversal of 134857200 is 2758431.

It is an interprime number because it is at equal distance from previous prime (134857199) and next prime (134857201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134857201) 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, 47830 + ... + 50570.

Almost surely, 2^134857200 is an apocalyptic number.

134857200 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 134857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221345208).

134857200 is an abundant number, since it is smaller than the sum of its proper divisors (307833216).

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

134857200 is a wasteful number, since it uses less digits than its factorization.

134857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2803 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 134857200 is about 11612.8032791398. The cubic root of 134857200 is about 512.8118427338.

The spelling of 134857200 in words is "one hundred thirty-four million, eight hundred fifty-seven thousand, two hundred".