145645800 has 192 divisors, whose sum is σ = 486129600. Its totient is φ = 35942400.

The previous prime is 145645793. The next prime is 145645823. The reversal of 145645800 is 8546541.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 1111735 + ... + 1111865.

It is an arithmetic number, because the mean of its divisors is an integer number (2531925).

Almost surely, 2^145645800 is an apocalyptic number.

145645800 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 145645800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064800).

145645800 is an abundant number, since it is smaller than the sum of its proper divisors (340483800).

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

145645800 is a wasteful number, since it uses less digits than its factorization.

145645800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 145645800 is about 12068.3801729975. The cubic root of 145645800 is about 526.1375786470.

The spelling of 145645800 in words is "one hundred forty-five million, six hundred forty-five thousand, eight hundred".