146318400 has 210 divisors, whose sum is σ = 538306010. Its totient is φ = 38983680.

The previous prime is 146318377. The next prime is 146318413. The reversal of 146318400 is 4813641.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 146313216 = 72^2 + 12096^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 129036 + ... + 130164.

Almost surely, 2^146318400 is an apocalyptic number.

146318400 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 146318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269153005).

146318400 is an abundant number, since it is smaller than the sum of its proper divisors (391987610).

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

146318400 is a wasteful number, since it uses less digits than its factorization.

146318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 146318400 is about 12096.2142838162. The cubic root of 146318400 is about 526.9462454788.

The spelling of 146318400 in words is "one hundred forty-six million, three hundred eighteen thousand, four hundred".