146400000 has 216 divisors, whose sum is σ = 494999568. Its totient is φ = 38400000.

The previous prime is 146399989. The next prime is 146400013. The reversal of 146400000 is 4641.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2399970 + ... + 2400030.

Almost surely, 2^146400000 is an apocalyptic number.

146400000 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 146400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247499784).

146400000 is an abundant number, since it is smaller than the sum of its proper divisors (348599568).

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

146400000 is an frugal number, since it uses more digits than its factorization.

146400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

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

The square root of 146400000 is about 12099.5867698033. The cubic root of 146400000 is about 527.0441844548.

Adding to 146400000 its reverse (4641), we get a palindrome (146404641).

The spelling of 146400000 in words is "one hundred forty-six million, four hundred thousand".