145048780800 has 1620 divisors, whose sum is σ = 668389392216. Its totient is φ = 29727129600.

The previous prime is 145048780771. The next prime is 145048780817. The reversal of 145048780800 is 8087840541.

145048780800 is a `hidden beast` number, since 1 + 450 + 48 + 7 + 80 + 80 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1986969564 + ... + 1986969636.

Almost surely, 2^145048780800 is an apocalyptic number.

145048780800 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 145048780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334194696108).

145048780800 is an abundant number, since it is smaller than the sum of its proper divisors (523340611416).

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

145048780800 is a wasteful number, since it uses less digits than its factorization.

145048780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 145048780800 in words is "one hundred forty-five billion, forty-eight million, seven hundred eighty thousand, eight hundred".