145752200 has 96 divisors (see below), whose sum is σ = 374038560. Its totient is φ = 52377600.

The previous prime is 145752199. The next prime is 145752227. The reversal of 145752200 is 2257541.

It is a self number, because there is not a number n which added to its sum of digits gives 145752200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213059 + ... + 213741.

It is an arithmetic number, because the mean of its divisors is an integer number (3896235).

Almost surely, 2^145752200 is an apocalyptic number.

145752200 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 145752200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).

145752200 is an abundant number, since it is smaller than the sum of its proper divisors (228286360).

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

145752200 is a wasteful number, since it uses less digits than its factorization.

145752200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 145752200 is about 12072.7875819961. The cubic root of 145752200 is about 526.2656688763.

The spelling of 145752200 in words is "one hundred forty-five million, seven hundred fifty-two thousand, two hundred".