145200432525312 has 416 divisors, whose sum is σ = 419299517952000. Its totient is φ = 44538388807680.

The previous prime is 145200432525263. The next prime is 145200432525319. The reversal of 145200432525312 is 213525234002541.

It is not an unprimeable number, because it can be changed into a prime (145200432525319) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2192035489 + ... + 2192101727.

Almost surely, 2^{145200432525312} is an apocalyptic number.

145200432525312 is a gapful number since it is divisible by the number (12) 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 145200432525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209649758976000).

145200432525312 is an abundant number, since it is smaller than the sum of its proper divisors (274099085426688).

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

145200432525312 is a wasteful number, since it uses less digits than its factorization.

145200432525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66555 (or 66533 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

Adding to 145200432525312 its reverse (213525234002541), we get a palindrome (358725666527853).

The spelling of 145200432525312 in words is "one hundred forty-five trillion, two hundred billion, four hundred thirty-two million, five hundred twenty-five thousand, three hundred twelve".