157734 has 32 divisors (see below), whose sum is σ = 368640. Its totient is φ = 49896.

The previous prime is 157733. The next prime is 157739. The reversal of 157734 is 437751.

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

It is a junction number, because it is equal to n+sod(n) for n = 157698 and 157707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157733) 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 15 ways as a sum of consecutive naturals, for example, 1179 + ... + 1305.

It is an arithmetic number, because the mean of its divisors is an integer number (11520).

2¹⁵⁷⁷³⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184320).

157734 is an abundant number, since it is smaller than the sum of its proper divisors (210906).

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

157734 is a wasteful number, since it uses less digits than its factorization.

157734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its digits is 2940, while the sum is 27.

The square root of 157734 is about 397.1573995282. The cubic root of 157734 is about 54.0308465736.

The spelling of 157734 in words is "one hundred fifty-seven thousand, seven hundred thirty-four".