1659745152 has 288 divisors, whose sum is σ = 5446120680. Its totient is φ = 482236416.

The previous prime is 1659745147. The next prime is 1659745163. The reversal of 1659745152 is 2515479561.

It is a happy number.

1659745152 is a `hidden beast` number, since 1 + 6 + 597 + 4 + 5 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

Its product of digits (378000) is a multiple of the sum of its prime factors (378).

It is a junction number, because it is equal to n+sod(n) for n = 1659745098 and 1659745107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5406183 + ... + 5406489.

Almost surely, 2^1659745152 is an apocalyptic number.

1659745152 is a gapful number since it is divisible by the number (12) 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 1659745152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2723060340).

1659745152 is an abundant number, since it is smaller than the sum of its proper divisors (3786375528).

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

1659745152 is a wasteful number, since it uses less digits than its factorization.

1659745152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 344 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 1659745152 is about 40739.9699558063. The cubic root of 1659745152 is about 1183.9875516101.

The spelling of 1659745152 in words is "one billion, six hundred fifty-nine million, seven hundred forty-five thousand, one hundred fifty-two".