145232433245200 has 240 divisors, whose sum is σ = 400142823755904. Its totient is φ = 49622312448000.

The previous prime is 145232433245183. The next prime is 145232433245201. The reversal of 145232433245200 is 2542334232541.

145232433245200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×145232433245200³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (145232433245201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749810102 + ... + 1749893098.

Almost surely, 2^{145232433245200} is an apocalyptic number.

145232433245200 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 145232433245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200071411877952).

145232433245200 is an abundant number, since it is smaller than the sum of its proper divisors (254910390510704).

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

145232433245200 is a wasteful number, since it uses less digits than its factorization.

145232433245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85170 (or 85159 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 145232433245200 its reverse (2542334232541), we get a palindrome (147774767477741).

The spelling of 145232433245200 in words is "one hundred forty-five trillion, two hundred thirty-two billion, four hundred thirty-three million, two hundred forty-five thousand, two hundred".