153131664000 has 1024 divisors, whose sum is σ = 604910592000. Its totient is φ = 34245120000.

The previous prime is 153131663939. The next prime is 153131664001. The reversal of 153131664000 is 466131351.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (153131664001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1168943935 + ... + 1168944065.

It is an arithmetic number, because the mean of its divisors is an integer number (590733000).

Almost surely, 2^153131664000 is an apocalyptic number.

153131664000 is a gapful number since it is divisible by the number (10) 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 153131664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302455296000).

153131664000 is an abundant number, since it is smaller than the sum of its proper divisors (451778928000).

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

153131664000 is an equidigital number, since it uses as much as digits as its factorization.

153131664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 153131664000 its reverse (466131351), we get a palindrome (153597795351).

The spelling of 153131664000 in words is "one hundred fifty-three billion, one hundred thirty-one million, six hundred sixty-four thousand".