153264322110420 has 168 divisors, whose sum is σ = 482661358899720. Its totient is φ = 40862059165440.

The previous prime is 153264322110397. The next prime is 153264322110421. The reversal of 153264322110420 is 24011223462351.

It is a happy number.

153264322110420 is a `hidden beast` number, since 1 + 5 + 3 + 2 + 6 + 4 + 3 + 221 + 1 + 0 + 420 = 666.

153264322110420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 41924640805776 + 111339681304644 = 6474924^2 + 10551762^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153264322110421) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 69792126 + ... + 71954634.

It is an arithmetic number, because the mean of its divisors is an integer number (2872984279165).

Almost surely, 2^{153264322110420} is an apocalyptic number.

153264322110420 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 153264322110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241330679449860).

153264322110420 is an abundant number, since it is smaller than the sum of its proper divisors (329397036789300).

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

153264322110420 is a wasteful number, since it uses less digits than its factorization.

153264322110420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167397 (or 2167380 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 153264322110420 its reverse (24011223462351), we get a palindrome (177275545572771).

The spelling of 153264322110420 in words is "one hundred fifty-three trillion, two hundred sixty-four billion, three hundred twenty-two million, one hundred ten thousand, four hundred twenty".