153729000 has 384 divisors, whose sum is σ = 584064000. Its totient is φ = 36288000.

The previous prime is 153728989. The next prime is 153729007. The reversal of 153729000 is 927351.

It is not an unprimeable number, because it can be changed into a prime (153729007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4958985 + ... + 4959015.

It is an arithmetic number, because the mean of its divisors is an integer number (1521000).

Almost surely, 2^153729000 is an apocalyptic number.

153729000 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 153729000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292032000).

153729000 is an abundant number, since it is smaller than the sum of its proper divisors (430335000).

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

153729000 is a wasteful number, since it uses less digits than its factorization.

153729000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 153729000 is about 12398.7499369896. The cubic root of 153729000 is about 535.6962432019.

The spelling of 153729000 in words is "one hundred fifty-three million, seven hundred twenty-nine thousand".