145783457856 has 105 divisors (see below), whose sum is σ = 432229345471. Its totient is φ = 48585322368.

The previous prime is 145783457819. The next prime is 145783457879. The reversal of 145783457856 is 658754387541.

It is a happy number.

The square root of 145783457856 is 381816.

It is a perfect power (a square), and thus also a powerful number.

145783457856 is a `hidden beast` number, since 1 + 4 + 5 + 7 + 8 + 3 + 4 + 578 + 56 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 145783457793 and 145783457802.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 27488101 + ... + 27493403.

Almost surely, 2^145783457856 is an apocalyptic number.

145783457856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145783457856 is the 381816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145783457856

145783457856 is an abundant number, since it is smaller than the sum of its proper divisors (286445887615).

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

145783457856 is an frugal number, since it uses more digits than its factorization.

145783457856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630 (or 5308 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 145783457856 in words is "one hundred forty-five billion, seven hundred eighty-three million, four hundred fifty-seven thousand, eight hundred fifty-six".