145228007383200 has 864 divisors, whose sum is σ = 591432070424832. Its totient is φ = 32845824000000.

The previous prime is 145228007383169. The next prime is 145228007383201. The reversal of 145228007383200 is 2383700822541.

145228007383200 is a `hidden beast` number, since 1 + 45 + 2 + 28 + 0 + 0 + 7 + 383 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (145228007383201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9076175200 + ... + 9076191200.

It is an arithmetic number, because the mean of its divisors is an integer number (684527859288).

Almost surely, 2^{145228007383200} is an apocalyptic number.

145228007383200 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 145228007383200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295716035212416).

145228007383200 is an abundant number, since it is smaller than the sum of its proper divisors (446204063041632).

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

145228007383200 is a wasteful number, since it uses less digits than its factorization.

145228007383200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17918 (or 17902 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 145228007383200 in words is "one hundred forty-five trillion, two hundred twenty-eight billion, seven million, three hundred eighty-three thousand, two hundred".