145911776256 has 297 divisors, whose sum is σ = 442992225949. Its totient is φ = 46253678592.

The previous prime is 145911776209. The next prime is 145911776291. The reversal of 145911776256 is 652677119541.

The square root of 145911776256 is 381984.

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

145911776256 is a `hidden beast` number, since 1 + 4 + 5 + 9 + 1 + 1 + 7 + 7 + 625 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 132729062400 + 13182713856 = 364320^2 + 114816^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 843420586 + ... + 843420758.

Almost surely, 2^145911776256 is an apocalyptic number.

145911776256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

145911776256 is the 381984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145911776256

145911776256 is an abundant number, since it is smaller than the sum of its proper divisors (297080449693).

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

145911776256 is an equidigital number, since it uses as much as digits as its factorization.

145911776256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 201 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 145911776256 in words is "one hundred forty-five billion, nine hundred eleven million, seven hundred seventy-six thousand, two hundred fifty-six".