146868300 has 108 divisors (see below), whose sum is σ = 469188720. Its totient is φ = 38413440.

The previous prime is 146868289. The next prime is 146868313. The reversal of 146868300 is 3868641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46161 + ... + 49239.

It is an arithmetic number, because the mean of its divisors is an integer number (4344340).

Almost surely, 2^146868300 is an apocalyptic number.

146868300 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 146868300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234594360).

146868300 is an abundant number, since it is smaller than the sum of its proper divisors (322320420).

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

146868300 is a wasteful number, since it uses less digits than its factorization.

146868300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 146868300 is about 12118.9232194944. The cubic root of 146868300 is about 527.6055507807.

The spelling of 146868300 in words is "one hundred forty-six million, eight hundred sixty-eight thousand, three hundred".