145208548800 has 1344 divisors, whose sum is σ = 645038080000. Its totient is φ = 31039303680.

The previous prime is 145208548759. The next prime is 145208548813. The reversal of 145208548800 is 8845802541.

145208548800 is a `hidden beast` number, since 1 + 4 + 5 + 20 + 8 + 548 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 729691101 + ... + 729691299.

Almost surely, 2^145208548800 is an apocalyptic number.

145208548800 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 145208548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322519040000).

145208548800 is an abundant number, since it is smaller than the sum of its proper divisors (499829531200).

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

145208548800 is a wasteful number, since it uses less digits than its factorization.

145208548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 145208548800 in words is "one hundred forty-five billion, two hundred eight million, five hundred forty-eight thousand, eight hundred".