145161244800 has 1536 divisors, whose sum is σ = 645958656000. Its totient is φ = 31352832000.

The previous prime is 145161244799. The next prime is 145161244853. The reversal of 145161244800 is 8442161541.

145161244800 is a `hidden beast` number, since 1 + 4 + 51 + 6 + 124 + 480 + 0 = 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 383011011 + ... + 383011389.

It is an arithmetic number, because the mean of its divisors is an integer number (420546000).

Almost surely, 2^145161244800 is an apocalyptic number.

145161244800 is a gapful number since it is divisible by the number (10) 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 145161244800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322979328000).

145161244800 is an abundant number, since it is smaller than the sum of its proper divisors (500797411200).

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

145161244800 is a wasteful number, since it uses less digits than its factorization.

145161244800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 145161244800 in words is "one hundred forty-five billion, one hundred sixty-one million, two hundred forty-four thousand, eight hundred".