145233433152 has 168 divisors, whose sum is σ = 427501751040. Its totient is φ = 47124080640.

The previous prime is 145233433129. The next prime is 145233433181. The reversal of 145233433152 is 251334332541.

145233433152 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 334 + 3 + 315 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3208308 + ... + 3253260.

It is an arithmetic number, because the mean of its divisors is an integer number (2544653280).

Almost surely, 2^145233433152 is an apocalyptic number.

145233433152 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 145233433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213750875520).

145233433152 is an abundant number, since it is smaller than the sum of its proper divisors (282268317888).

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

145233433152 is a wasteful number, since it uses less digits than its factorization.

145233433152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45121 (or 45108 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 145233433152 its reverse (251334332541), we get a palindrome (396567765693).

The spelling of 145233433152 in words is "one hundred forty-five billion, two hundred thirty-three million, four hundred thirty-three thousand, one hundred fifty-two".