153729738 has 40 divisors (see below), whose sum is σ = 346288932. Its totient is φ = 50972544.

The previous prime is 153729727. The next prime is 153729739. The reversal of 153729738 is 837927351.

It is a happy number.

153729738 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 2 ways, for example, as 152695449 + 1034289 = 12357^2 + 1017^2 .

It is a junction number, because it is equal to n+sod(n) for n = 153729693 and 153729702.

It is not an unprimeable number, because it can be changed into a prime (153729739) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29506 + ... + 34322.

Almost surely, 2^153729738 is an apocalyptic number.

153729738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 153729738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173144466).

153729738 is an abundant number, since it is smaller than the sum of its proper divisors (192559194).

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

153729738 is a wasteful number, since it uses less digits than its factorization.

153729738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028 (or 5019 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 153729738 is about 12398.7796980187. The cubic root of 153729738 is about 535.6971004316.

The spelling of 153729738 in words is "one hundred fifty-three million, seven hundred twenty-nine thousand, seven hundred thirty-eight".