145034063200 has 144 divisors (see below), whose sum is σ = 382408493040. Its totient is φ = 53395384320.

The previous prime is 145034063191. The next prime is 145034063201. The reversal of 145034063200 is 2360430541.

It is a super-3 number, since 3×145034063200³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145034063201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3588706 + ... + 3628894.

It is an arithmetic number, because the mean of its divisors is an integer number (2655614535).

Almost surely, 2^145034063200 is an apocalyptic number.

145034063200 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 145034063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191204246520).

145034063200 is an abundant number, since it is smaller than the sum of its proper divisors (237374429840).

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

145034063200 is a wasteful number, since it uses less digits than its factorization.

145034063200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40569 (or 40556 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 145034063200 its reverse (2360430541), we get a palindrome (147394493741).

The spelling of 145034063200 in words is "one hundred forty-five billion, thirty-four million, sixty-three thousand, two hundred".