145505873026800 has 1800 divisors, whose sum is σ = 617701133668608. Its totient is φ = 32517179136000.

The previous prime is 145505873026751. The next prime is 145505873026807. The reversal of 145505873026800 is 8620378505541.

145505873026800 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 0 + 587 + 30 + 26 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145505873026807) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 70531202569 + ... + 70531204631.

Almost surely, 2^{145505873026800} is an apocalyptic number.

145505873026800 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 145505873026800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308850566834304).

145505873026800 is an abundant number, since it is smaller than the sum of its proper divisors (472195260641808).

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

145505873026800 is a wasteful number, since it uses less digits than its factorization.

145505873026800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3301 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 145505873026800 in words is "one hundred forty-five trillion, five hundred five billion, eight hundred seventy-three million, twenty-six thousand, eight hundred".