145198656 has 140 divisors (see below), whose sum is σ = 442631068. Its totient is φ = 47029248.

The previous prime is 145198643. The next prime is 145198657. The reversal of 145198656 is 656891541.

145198656 is a `hidden beast` number, since 1 + 4 + 519 + 86 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112021056 + 33177600 = 10584^2 + 5760^2 .

It is not an unprimeable number, because it can be changed into a prime (145198657) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 191430 + ... + 192186.

Almost surely, 2^145198656 is an apocalyptic number.

145198656 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 145198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221315534).

145198656 is an abundant number, since it is smaller than the sum of its proper divisors (297432412).

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

145198656 is an equidigital number, since it uses as much as digits as its factorization.

145198656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 799 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 145198656 is about 12049.8404968697. The cubic root of 145198656 is about 525.5985988578.

The spelling of 145198656 in words is "one hundred forty-five million, one hundred ninety-eight thousand, six hundred fifty-six".