145040800 has 36 divisors (see below), whose sum is σ = 354082806. Its totient is φ = 58016000.

The previous prime is 145040773. The next prime is 145040827. The reversal of 145040800 is 8040541.

It is an interprime number because it is at equal distance from previous prime (145040773) and next prime (145040827).

It can be written as a sum of positive squares in 3 ways, for example, as 139145616 + 5895184 = 11796^2 + 2428^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89851 + ... + 91450.

Almost surely, 2^145040800 is an apocalyptic number.

145040800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145040800 is an abundant number, since it is smaller than the sum of its proper divisors (209042006).

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

145040800 is a wasteful number, since it uses less digits than its factorization.

145040800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181321 (or 181308 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 145040800 is about 12043.2885874249. The cubic root of 145040800 is about 525.4080576594.

The spelling of 145040800 in words is "one hundred forty-five million, forty thousand, eight hundred".