153738 has 40 divisors (see below), whose sum is σ = 376068. Its totient is φ = 46656.

The previous prime is 153733. The next prime is 153739. The reversal of 153738 is 837351.

It can be written as a sum of positive squares in 2 ways, for example, as 149769 + 3969 = 387^2 + 63^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (153733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2070 + ... + 2142.

2¹⁵³⁷³⁸ is an apocalyptic number.

153738 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 153738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188034).

153738 is an abundant number, since it is smaller than the sum of its proper divisors (222330).

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

153738 is a wasteful number, since it uses less digits than its factorization.

153738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 91 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 153738 is about 392.0943763943. The cubic root of 153738 is about 53.5706697035.

The spelling of 153738 in words is "one hundred fifty-three thousand, seven hundred thirty-eight".