145562200 has 96 divisors (see below), whose sum is σ = 389662560. Its totient is φ = 49536000.

The previous prime is 145562167. The next prime is 145562201. The reversal of 145562200 is 2265541.

145562200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (145562201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241900 + ... + 242500.

It is an arithmetic number, because the mean of its divisors is an integer number (4058985).

Almost surely, 2^145562200 is an apocalyptic number.

145562200 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 145562200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194831280).

145562200 is an abundant number, since it is smaller than the sum of its proper divisors (244100360).

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

145562200 is a wasteful number, since it uses less digits than its factorization.

145562200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 145562200 is about 12064.9160792771. The cubic root of 145562200 is about 526.0368925533.

The spelling of 145562200 in words is "one hundred forty-five million, five hundred sixty-two thousand, two hundred".