145281201004800 has 1728 divisors, whose sum is σ = 619169730600960. Its totient is φ = 32645537464320.

The previous prime is 145281201004799. The next prime is 145281201004829. The reversal of 145281201004800 is 8400102182541.

145281201004800 is a `hidden beast` number, since 1 + 4 + 52 + 8 + 1 + 20 + 100 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×145281201004800² (a number of 29 digits) contains 22 as substring.

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, 48058616089 + ... + 48058619111.

It is an arithmetic number, because the mean of its divisors is an integer number (358315816320).

Almost surely, 2^{145281201004800} is an apocalyptic number.

145281201004800 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 145281201004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309584865300480).

145281201004800 is an abundant number, since it is smaller than the sum of its proper divisors (473888529596160).

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

145281201004800 is a wasteful number, since it uses less digits than its factorization.

145281201004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3700 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 145281201004800 in words is "one hundred forty-five trillion, two hundred eighty-one billion, two hundred one million, four thousand, eight hundred".