145957446320 has 160 divisors (see below), whose sum is σ = 400671498240. Its totient is φ = 48388239360.

The previous prime is 145957446319. The next prime is 145957446343. The reversal of 145957446320 is 23644759541.

145957446320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145957446320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27061544 + ... + 27066936.

It is an arithmetic number, because the mean of its divisors is an integer number (2504196864).

Almost surely, 2^145957446320 is an apocalyptic number.

145957446320 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 145957446320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200335749120).

145957446320 is an abundant number, since it is smaller than the sum of its proper divisors (254714051920).

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

145957446320 is a wasteful number, since it uses less digits than its factorization.

145957446320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7003 (or 6997 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 50.

The spelling of 145957446320 in words is "one hundred forty-five billion, nine hundred fifty-seven million, four hundred forty-six thousand, three hundred twenty".