145611648 has 256 divisors, whose sum is σ = 530073600. Its totient is φ = 38320128.

The previous prime is 145611607. The next prime is 145611701. The reversal of 145611648 is 846116541.

145611648 is a `hidden beast` number, since 1 + 4 + 5 + 6 + 1 + 1 + 648 = 666.

145611648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314265 + ... + 314727.

It is an arithmetic number, because the mean of its divisors is an integer number (2070600).

Almost surely, 2^145611648 is an apocalyptic number.

145611648 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 145611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265036800).

145611648 is an abundant number, since it is smaller than the sum of its proper divisors (384461952).

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

145611648 is a wasteful number, since it uses less digits than its factorization.

145611648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 488 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 145611648 is about 12066.9651528460. The cubic root of 145611648 is about 526.0964513476.

The spelling of 145611648 in words is "one hundred forty-five million, six hundred eleven thousand, six hundred forty-eight".