145451630352 has 640 divisors, whose sum is σ = 481525751808. Its totient is φ = 36900864000.

The previous prime is 145451630341. The next prime is 145451630399. The reversal of 145451630352 is 253036154541.

It is a happy number.

145451630352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 145451630352.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1440115102 + ... + 1440115202.

Almost surely, 2^145451630352 is an apocalyptic number.

145451630352 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 145451630352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240762875904).

145451630352 is an abundant number, since it is smaller than the sum of its proper divisors (336074121456).

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

145451630352 is a wasteful number, since it uses less digits than its factorization.

145451630352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

Adding to 145451630352 its reverse (253036154541), we get a palindrome (398487784893).

The spelling of 145451630352 in words is "one hundred forty-five billion, four hundred fifty-one million, six hundred thirty thousand, three hundred fifty-two".