146828539200 has 252 divisors, whose sum is σ = 560369020992. Its totient is φ = 33560755200.

The previous prime is 146828539199. The next prime is 146828539201. The reversal of 146828539200 is 2935828641.

It is an interprime number because it is at equal distance from previous prime (146828539199) and next prime (146828539201).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 146828539200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146828539201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76936 + ... + 547335.

Almost surely, 2^146828539200 is an apocalyptic number.

146828539200 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 146828539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280184510496).

146828539200 is an abundant number, since it is smaller than the sum of its proper divisors (413540481792).

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

146828539200 is a wasteful number, since it uses less digits than its factorization.

146828539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624310 (or 624288 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 146828539200 in words is "one hundred forty-six billion, eight hundred twenty-eight million, five hundred thirty-nine thousand, two hundred".