145457856 has 168 divisors, whose sum is σ = 443788800. Its totient is φ = 47215872.

The previous prime is 145457849. The next prime is 145457857. The reversal of 145457856 is 658754541.

145457856 is a `hidden beast` number, since 145 + 457 + 8 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (145457857) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730845 + ... + 731043.

It is an arithmetic number, because the mean of its divisors is an integer number (2641600).

Almost surely, 2^145457856 is an apocalyptic number.

145457856 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 145457856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221894400).

145457856 is an abundant number, since it is smaller than the sum of its proper divisors (298330944).

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

145457856 is an equidigital number, since it uses as much as digits as its factorization.

145457856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 251 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 145457856 is about 12060.5910302937. The cubic root of 145457856 is about 525.9111687181.

The spelling of 145457856 in words is "one hundred forty-five million, four hundred fifty-seven thousand, eight hundred fifty-six".