146878200 has 144 divisors (see below), whose sum is σ = 563780880. Its totient is φ = 33569280.

The previous prime is 146878187. The next prime is 146878223. The reversal of 146878200 is 2878641.

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

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 6772 + ... + 18428.

It is an arithmetic number, because the mean of its divisors is an integer number (3915145).

Almost surely, 2^146878200 is an apocalyptic number.

146878200 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 146878200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281890440).

146878200 is an abundant number, since it is smaller than the sum of its proper divisors (416902680).

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

146878200 is a wasteful number, since it uses less digits than its factorization.

146878200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11686 (or 11674 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 146878200 is about 12119.3316647413. The cubic root of 146878200 is about 527.6174053415.

The spelling of 146878200 in words is "one hundred forty-six million, eight hundred seventy-eight thousand, two hundred".