146405600 has 144 divisors (see below), whose sum is σ = 395974656. Its totient is φ = 52416000.

The previous prime is 146405599. The next prime is 146405627. The reversal of 146405600 is 6504641.

It is a happy number.

146405600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×146405600² = 42869199422720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 146405600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117535 + ... + 1117665.

It is an arithmetic number, because the mean of its divisors is an integer number (2749824).

Almost surely, 2^146405600 is an apocalyptic number.

146405600 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 146405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197987328).

146405600 is an abundant number, since it is smaller than the sum of its proper divisors (249569056).

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

146405600 is a wasteful number, since it uses less digits than its factorization.

146405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 146405600 is about 12099.8181804521. The cubic root of 146405600 is about 527.0509044225.

The spelling of 146405600 in words is "one hundred forty-six million, four hundred five thousand, six hundred".