153664000000 has 455 divisors, whose sum is σ = 448099557221. Its totient is φ = 52684800000.

The previous prime is 153663999977. The next prime is 153664000013. The reversal of 153664000000 is 466351.

The square root of 153664000000 is 392000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 134624415744 + 19039584256 = 366912^2 + 137984^2 .

It is a super-2 number, since 2×153664000000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian 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 34 ways as a sum of consecutive naturals, for example, 21951999997 + ... + 21952000003.

Almost surely, 2^153664000000 is an apocalyptic number.

153664000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

153664000000 is the 392000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153664000000

153664000000 is an abundant number, since it is smaller than the sum of its proper divisors (294435557221).

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

153664000000 is an frugal number, since it uses more digits than its factorization.

153664000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Multiplying 153664000000 by its sum of digits (25), we get a 4-th power (3841600000000 = 1400⁴).

153664000000 divided by its sum of digits (25) gives a 4-th power (6146560000 = 280⁴).

Adding to 153664000000 its reverse (466351), we get a palindrome (153664466351).

The spelling of 153664000000 in words is "one hundred fifty-three billion, six hundred sixty-four million", and thus it is an aban number.