153052323343100 has 72 divisors (see below), whose sum is σ = 336277369870848. Its totient is φ = 60455915320000.

The previous prime is 153052323343067. The next prime is 153052323343159. The reversal of 153052323343100 is 1343323250351.

It is a super-2 number, since 2×153052323343100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14140475 + ... + 22495725.

It is an arithmetic number, because the mean of its divisors is an integer number (4670519025984).

Almost surely, 2^{153052323343100} is an apocalyptic number.

153052323343100 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 153052323343100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168138684935424).

153052323343100 is an abundant number, since it is smaller than the sum of its proper divisors (183225046527748).

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

153052323343100 is a wasteful number, since it uses less digits than its factorization.

153052323343100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8357555 (or 8357548 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 153052323343100 its reverse (1343323250351), we get a palindrome (154395646593451).

The spelling of 153052323343100 in words is "one hundred fifty-three trillion, fifty-two billion, three hundred twenty-three million, three hundred forty-three thousand, one hundred".