5705137152 has 660 divisors, whose sum is σ = 20668984776. Its totient is φ = 1552711680.

The previous prime is 5705137147. The next prime is 5705137171. The reversal of 5705137152 is 2517315075.

It is a happy number.

5705137152 is a `hidden beast` number, since 5 + 70 + 513 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×5705137152² = 65097179846261342208, which contains 22 as substring.

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 polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 154192878 + ... + 154192914.

Almost surely, 2^5705137152 is an apocalyptic number.

5705137152 is a gapful number since it is divisible by the number (52) 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 5705137152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10334492388).

5705137152 is an abundant number, since it is smaller than the sum of its proper divisors (14963847624).

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

5705137152 is a wasteful number, since it uses less digits than its factorization.

5705137152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 5705137152 is about 75532.3583108591. The cubic root of 5705137152 is about 1786.8524684868.

The spelling of 5705137152 in words is "five billion, seven hundred five million, one hundred thirty-seven thousand, one hundred fifty-two".