145013617056 has 768 divisors, whose sum is σ = 529737449472. Its totient is φ = 33562214400.

The previous prime is 145013617031. The next prime is 145013617069. The reversal of 145013617056 is 650716310541.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 378625441 + ... + 378625823.

It is an arithmetic number, because the mean of its divisors is an integer number (689762304).

Almost surely, 2^145013617056 is an apocalyptic number.

145013617056 is a gapful number since it is divisible by the number (16) 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 145013617056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264868724736).

145013617056 is an abundant number, since it is smaller than the sum of its proper divisors (384723832416).

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

145013617056 is a wasteful number, since it uses less digits than its factorization.

145013617056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

Adding to 145013617056 its reverse (650716310541), we get a palindrome (795729927597).

The spelling of 145013617056 in words is "one hundred forty-five billion, thirteen million, six hundred seventeen thousand, fifty-six".