153856 has 18 divisors (see below), whose sum is σ = 307622. Its totient is φ = 76800.

The previous prime is 153841. The next prime is 153871. The reversal of 153856 is 658351.

153856 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (153841) and next prime (153871).

It can be written as a sum of positive squares in only one way, i.e., 147456 + 6400 = 384^2 + 80^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 45 + ... + 556.

2¹⁵³⁸⁵⁶ is an apocalyptic number.

153856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153856 is a deficient number, since it is larger than the sum of its proper divisors (153766).

153856 is an frugal number, since it uses more digits than its factorization.

153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 603 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 153856 is about 392.2448215082. The cubic root of 153856 is about 53.5843720682.

The spelling of 153856 in words is "one hundred fifty-three thousand, eight hundred fifty-six".