145409644800 has 1944 divisors, whose sum is σ = 667855546176. Its totient is φ = 30636195840.

The previous prime is 145409644727. The next prime is 145409644813. The reversal of 145409644800 is 8446904541.

145409644800 is a `hidden beast` number, since 1 + 4 + 540 + 9 + 64 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×145409644800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3929990382 + ... + 3929990418.

Almost surely, 2^145409644800 is an apocalyptic number.

145409644800 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 145409644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333927773088).

145409644800 is an abundant number, since it is smaller than the sum of its proper divisors (522445901376).

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

145409644800 is an equidigital number, since it uses as much as digits as its factorization.

145409644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 145409644800 in words is "one hundred forty-five billion, four hundred nine million, six hundred forty-four thousand, eight hundred".