153410120000 has 140 divisors (see below), whose sum is σ = 386649573156. Its totient is φ = 60357120000.

The previous prime is 153410119999. The next prime is 153410120021. The reversal of 153410120000 is 21014351.

153410120000 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 10 ways, for example, as 125083883584 + 28326236416 = 353672^2 + 168304^2 .

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 19 ways as a sum of consecutive naturals, for example, 2408564 + ... + 2471436.

Almost surely, 2^153410120000 is an apocalyptic number.

153410120000 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 153410120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193324786578).

153410120000 is an abundant number, since it is smaller than the sum of its proper divisors (233239453156).

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

153410120000 is an frugal number, since it uses more digits than its factorization.

153410120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62966 (or 62941 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 153410120000 its reverse (21014351), we get a palindrome (153431134351).

The spelling of 153410120000 in words is "one hundred fifty-three billion, four hundred ten million, one hundred twenty thousand".