210134400 has 384 divisors, whose sum is σ = 819590400. Its totient is φ = 46325760.

The previous prime is 210134387. The next prime is 210134423. The reversal of 210134400 is 4431012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 210134400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3561571 + ... + 3561629.

It is an arithmetic number, because the mean of its divisors is an integer number (2134350).

Almost surely, 2^210134400 is an apocalyptic number.

210134400 is a gapful number since it is divisible by the number (20) 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 210134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409795200).

210134400 is an abundant number, since it is smaller than the sum of its proper divisors (609456000).

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

210134400 is a wasteful number, since it uses less digits than its factorization.

210134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 210134400 is about 14496.0132450271. The cubic root of 210134400 is about 594.5189719028.

Adding to 210134400 its reverse (4431012), we get a palindrome (214565412).

The spelling of 210134400 in words is "two hundred ten million, one hundred thirty-four thousand, four hundred".