145550282800 has 240 divisors, whose sum is σ = 399942214560. Its totient is φ = 50458705920.

The previous prime is 145550282789. The next prime is 145550282861. The reversal of 145550282800 is 8282055541.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 11157882 + ... + 11170918.

It is an arithmetic number, because the mean of its divisors is an integer number (1666425894).

Almost surely, 2^145550282800 is an apocalyptic number.

145550282800 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 145550282800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199971107280).

145550282800 is an abundant number, since it is smaller than the sum of its proper divisors (254391931760).

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

145550282800 is a wasteful number, since it uses less digits than its factorization.

145550282800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13200 (or 13189 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 40.

The spelling of 145550282800 in words is "one hundred forty-five billion, five hundred fifty million, two hundred eighty-two thousand, eight hundred".