145042243200 has 288 divisors, whose sum is σ = 525275487360. Its totient is φ = 38100142080.

The previous prime is 145042243183. The next prime is 145042243223. The reversal of 145042243200 is 2342240541.

145042243200 is a `hidden beast` number, since 1 + 450 + 4 + 2 + 2 + 4 + 3 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1892017 + ... + 1967183.

It is an arithmetic number, because the mean of its divisors is an integer number (1823873220).

Almost surely, 2^145042243200 is an apocalyptic number.

145042243200 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 145042243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262637743680).

145042243200 is an abundant number, since it is smaller than the sum of its proper divisors (380233244160).

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

145042243200 is a wasteful number, since it uses less digits than its factorization.

145042243200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75264 (or 75244 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 145042243200 its reverse (2342240541), we get a palindrome (147384483741).

The spelling of 145042243200 in words is "one hundred forty-five billion, forty-two million, two hundred forty-three thousand, two hundred".