145852213248 has 960 divisors, whose sum is σ = 535800545280. Its totient is φ = 38626689024.

The previous prime is 145852213211. The next prime is 145852213253. The reversal of 145852213248 is 842312258541.

145852213248 is a `hidden beast` number, since 1 + 4 + 58 + 522 + 1 + 32 + 48 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1148442561 + ... + 1148442687.

It is an arithmetic number, because the mean of its divisors is an integer number (558125568).

Almost surely, 2^145852213248 is an apocalyptic number.

145852213248 is a gapful number since it is divisible by the number (18) 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 145852213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267900272640).

145852213248 is an abundant number, since it is smaller than the sum of its proper divisors (389948332032).

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

145852213248 is a wasteful number, since it uses less digits than its factorization.

145852213248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The spelling of 145852213248 in words is "one hundred forty-five billion, eight hundred fifty-two million, two hundred thirteen thousand, two hundred forty-eight".