145875556200 has 192 divisors, whose sum is σ = 506658553920. Its totient is φ = 34407936000.

The previous prime is 145875556171. The next prime is 145875556261. The reversal of 145875556200 is 2655578541.

It is a self number, because there is not a number n which added to its sum of digits gives 145875556200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54481 + ... + 542880.

It is an arithmetic number, because the mean of its divisors is an integer number (2638846635).

Almost surely, 2^145875556200 is an apocalyptic number.

145875556200 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 145875556200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253329276960).

145875556200 is an abundant number, since it is smaller than the sum of its proper divisors (360782997720).

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

145875556200 is a wasteful number, since it uses less digits than its factorization.

145875556200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597428 (or 597419 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 145875556200 in words is "one hundred forty-five billion, eight hundred seventy-five million, five hundred fifty-six thousand, two hundred".