146831200 has 72 divisors (see below), whose sum is σ = 365320368. Its totient is φ = 57607680.

The previous prime is 146831173. The next prime is 146831203. The reversal of 146831200 is 2138641.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146831203) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40669 + ... + 44131.

It is an arithmetic number, because the mean of its divisors is an integer number (5073894).

Almost surely, 2^146831200 is an apocalyptic number.

146831200 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 146831200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182660184).

146831200 is an abundant number, since it is smaller than the sum of its proper divisors (218489168).

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

146831200 is a wasteful number, since it uses less digits than its factorization.

146831200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3536 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 146831200 is about 12117.3924587759. The cubic root of 146831200 is about 527.5611213738.

Adding to 146831200 its reverse (2138641), we get a palindrome (148969841).

The spelling of 146831200 in words is "one hundred forty-six million, eight hundred thirty-one thousand, two hundred".