153105415320 has 512 divisors, whose sum is σ = 560431872000. Its totient is φ = 32949288960.

The previous prime is 153105415319. The next prime is 153105415339. The reversal of 153105415320 is 23514501351.

153105415320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178652332 + ... + 178653188.

It is an arithmetic number, because the mean of its divisors is an integer number (1094593500).

Almost surely, 2^153105415320 is an apocalyptic number.

153105415320 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 153105415320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280215936000).

153105415320 is an abundant number, since it is smaller than the sum of its proper divisors (407326456680).

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

153105415320 is a wasteful number, since it uses less digits than its factorization.

153105415320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

Adding to 153105415320 its reverse (23514501351), we get a palindrome (176619916671).

The spelling of 153105415320 in words is "one hundred fifty-three billion, one hundred five million, four hundred fifteen thousand, three hundred twenty".