145433288000 has 1008 divisors, whose sum is σ = 493777170432. Its totient is φ = 41513472000.

The previous prime is 145433287991. The next prime is 145433288003. The reversal of 145433288000 is 882334541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145433288003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1145143937 + ... + 1145144063.

It is an arithmetic number, because the mean of its divisors is an integer number (489858304).

Almost surely, 2^145433288000 is an apocalyptic number.

145433288000 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 145433288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246888585216).

145433288000 is an abundant number, since it is smaller than the sum of its proper divisors (348343882432).

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

145433288000 is a wasteful number, since it uses less digits than its factorization.

145433288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The spelling of 145433288000 in words is "one hundred forty-five billion, four hundred thirty-three million, two hundred eighty-eight thousand".