153724342000 has 120 divisors (see below), whose sum is σ = 374294387376. Its totient is φ = 61064400000.

The previous prime is 153724341931. The next prime is 153724342027. The reversal of 153724342000 is 243427351.

It is a happy number.

153724342000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 45600315 + ... + 45603685.

Almost surely, 2^153724342000 is an apocalyptic number.

153724342000 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 153724342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187147193688).

153724342000 is an abundant number, since it is smaller than the sum of its proper divisors (220570045376).

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

153724342000 is an equidigital number, since it uses as much as digits as its factorization.

153724342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 31.

Adding to 153724342000 its reverse (243427351), we get a palindrome (153967769351).

The spelling of 153724342000 in words is "one hundred fifty-three billion, seven hundred twenty-four million, three hundred forty-two thousand".