146164200 has 192 divisors, whose sum is σ = 557880960. Its totient is φ = 30827520.

The previous prime is 146164189. The next prime is 146164201. The reversal of 146164200 is 2461641.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (146164201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53262 + ... + 55938.

It is an arithmetic number, because the mean of its divisors is an integer number (2905630).

Almost surely, 2^146164200 is an apocalyptic number.

146164200 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 146164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278940480).

146164200 is an abundant number, since it is smaller than the sum of its proper divisors (411716760).

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

146164200 is a wasteful number, since it uses less digits than its factorization.

146164200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2707 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 146164200 is about 12089.8387086015. The cubic root of 146164200 is about 526.7610701539.

The spelling of 146164200 in words is "one hundred forty-six million, one hundred sixty-four thousand, two hundred".