157534 has 16 divisors (see below), whose sum is σ = 261072. Its totient is φ = 70848.

The previous prime is 157523. The next prime is 157543. The reversal of 157534 is 435751.

157534 = T₁₅₆ + T₁₅₇ + ... + T₁₆₇.

It is a super-2 number, since 2×157534² = 49633922312, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157499 and 157508.

It is a congruent number.

It is an unprimeable number.

157534 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 (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1857 + ... + 1939.

It is an arithmetic number, because the mean of its divisors is an integer number (16317).

2¹⁵⁷⁵³⁴ is an apocalyptic number.

157534 is a deficient number, since it is larger than the sum of its proper divisors (103538).

157534 is a wasteful number, since it uses less digits than its factorization.

157534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171.

The product of its digits is 2100, while the sum is 25.

The square root of 157534 is about 396.9055303218. The cubic root of 157534 is about 54.0080006436.

It can be divided in two parts, 157 and 534, that multiplied together give a palindrome (83838).

The spelling of 157534 in words is "one hundred fifty-seven thousand, five hundred thirty-four".