145565786880 has 504 divisors, whose sum is σ = 525672911232. Its totient is φ = 38602801152.

The previous prime is 145565786879. The next prime is 145565786881. The reversal of 145565786880 is 88687565541.

145565786880 is a `hidden beast` number, since 1 + 4 + 5 + 56 + 578 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (145565786879) and next prime (145565786881).

It is not an unprimeable number, because it can be changed into a prime (145565786881) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 239811537 + ... + 239812143.

It is an arithmetic number, because the mean of its divisors is an integer number (1043001808).

Almost surely, 2^145565786880 is an apocalyptic number.

145565786880 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 145565786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262836455616).

145565786880 is an abundant number, since it is smaller than the sum of its proper divisors (380107124352).

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

145565786880 is an frugal number, since it uses more digits than its factorization.

145565786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 145565786880 in words is "one hundred forty-five billion, five hundred sixty-five million, seven hundred eighty-six thousand, eight hundred eighty".