145003364352 has 1080 divisors, whose sum is σ = 558383233408. Its totient is φ = 36787322880.

The previous prime is 145003364333. The next prime is 145003364371. The reversal of 145003364352 is 253463300541.

145003364352 is a `hidden beast` number, since 1 + 4 + 5 + 0 + 0 + 3 + 3 + 643 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (145003364333) and next prime (145003364371).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3372171243 + ... + 3372171285.

Almost surely, 2^145003364352 is an apocalyptic number.

145003364352 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 145003364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279191616704).

145003364352 is an abundant number, since it is smaller than the sum of its proper divisors (413379869056).

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

145003364352 is an frugal number, since it uses more digits than its factorization.

145003364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 66 counting only the distinct ones).

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

Adding to 145003364352 its reverse (253463300541), we get a palindrome (398466664893).

The spelling of 145003364352 in words is "one hundred forty-five billion, three million, three hundred sixty-four thousand, three hundred fifty-two".