157746 has 16 divisors (see below), whose sum is σ = 321408. Its totient is φ = 51600.

The previous prime is 157739. The next prime is 157747. The reversal of 157746 is 647751.

It is a happy number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (157747) by changing a digit.

157746 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 151 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (20088).

2¹⁵⁷⁷⁴⁶ is an apocalyptic number.

157746 is an abundant number, since it is smaller than the sum of its proper divisors (163662).

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

157746 is a wasteful number, since it uses less digits than its factorization.

157746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497.

The product of its digits is 5880, while the sum is 30.

The square root of 157746 is about 397.1725066014. The cubic root of 157746 is about 54.0322167151.

It can be divided in two parts, 157 and 746, that added together give a triangular number (903 = T₄₂).

The spelling of 157746 in words is "one hundred fifty-seven thousand, seven hundred forty-six".