145755648 has 120 divisors (see below), whose sum is σ = 430249248. Its totient is φ = 47480832.

The previous prime is 145755647. The next prime is 145755661. The reversal of 145755648 is 846557541.

145755648 is a `hidden beast` number, since 1 + 4 + 57 + 556 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145755647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216240 + ... + 216912.

Almost surely, 2^145755648 is an apocalyptic number.

145755648 is a gapful number since it is divisible by the number (18) 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 145755648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215124624).

145755648 is an abundant number, since it is smaller than the sum of its proper divisors (284493600).

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

145755648 is an equidigital number, since it uses as much as digits as its factorization.

145755648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 725 counting only the distinct ones).

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

The square root of 145755648 is about 12072.9303816431. The cubic root of 145755648 is about 526.2698187273.

The spelling of 145755648 in words is "one hundred forty-five million, seven hundred fifty-five thousand, six hundred forty-eight".