145780715520 has 624 divisors, whose sum is σ = 571880155392. Its totient is φ = 35327508480.

The previous prime is 145780715501. The next prime is 145780715539. The reversal of 145780715520 is 25517087541.

145780715520 is a `hidden beast` number, since 1 + 4 + 57 + 8 + 0 + 71 + 5 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (145780715501) and next prime (145780715539).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54741709 + ... + 54744371.

It is an arithmetic number, because the mean of its divisors is an integer number (916474608).

Almost surely, 2^145780715520 is an apocalyptic number.

145780715520 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 145780715520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285940077696).

145780715520 is an abundant number, since it is smaller than the sum of its proper divisors (426099439872).

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

145780715520 is an equidigital number, since it uses as much as digits as its factorization.

145780715520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2718 (or 2684 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 145780715520 in words is "one hundred forty-five billion, seven hundred eighty million, seven hundred fifteen thousand, five hundred twenty".