145609800 has 192 divisors, whose sum is σ = 530382720. Its totient is φ = 32348160.

The previous prime is 145609771. The next prime is 145609801. The reversal of 145609800 is 8906541.

It is not an unprimeable number, because it can be changed into a prime (145609801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154932 + ... + 155868.

It is an arithmetic number, because the mean of its divisors is an integer number (2762410).

Almost surely, 2^145609800 is an apocalyptic number.

145609800 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 145609800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265191360).

145609800 is an abundant number, since it is smaller than the sum of its proper divisors (384772920).

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

145609800 is a wasteful number, since it uses less digits than its factorization.

145609800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 145609800 is about 12066.8885799116. Note that the first 3 decimals coincide. The cubic root of 145609800 is about 526.0942257236.

The spelling of 145609800 in words is "one hundred forty-five million, six hundred nine thousand, eight hundred".