145566720000 has 1120 divisors, whose sum is σ = 587552048160. Its totient is φ = 35831808000.

The previous prime is 145566719999. The next prime is 145566720007. The reversal of 145566720000 is 27665541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145566720007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11197439994 + ... + 11197440006.

It is an arithmetic number, because the mean of its divisors is an integer number (524600043).

Almost surely, 2^145566720000 is an apocalyptic number.

145566720000 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 145566720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293776024080).

145566720000 is an abundant number, since it is smaller than the sum of its proper divisors (441985328160).

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

145566720000 is an frugal number, since it uses more digits than its factorization.

145566720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 145566720000 in words is "one hundred forty-five billion, five hundred sixty-six million, seven hundred twenty thousand".