145133235412000 has 384 divisors, whose sum is σ = 399609407957760. Its totient is φ = 51338327040000.

The previous prime is 145133235411973. The next prime is 145133235412027. The reversal of 145133235412000 is 214532331541.

It is an interprime number because it is at equal distance from previous prime (145133235411973) and next prime (145133235412027).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13038646435 + ... + 13038657565.

It is an arithmetic number, because the mean of its divisors is an integer number (1040649499890).

Almost surely, 2^{145133235412000} is an apocalyptic number.

145133235412000 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 145133235412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199804703978880).

145133235412000 is an abundant number, since it is smaller than the sum of its proper divisors (254476172545760).

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

145133235412000 is a wasteful number, since it uses less digits than its factorization.

145133235412000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19213 (or 19195 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

Adding to 145133235412000 its reverse (214532331541), we get a palindrome (145347767743541).

The spelling of 145133235412000 in words is "one hundred forty-five trillion, one hundred thirty-three billion, two hundred thirty-five million, four hundred twelve thousand".