153936 has 30 divisors (see below), whose sum is σ = 431210. Its totient is φ = 51264.

The previous prime is 153929. The next prime is 153941. The reversal of 153936 is 639351.

153936 = T₉₃ + T₉₄ + ... + T₁₁₉.

It can be written as a sum of positive squares in only one way, i.e., 129600 + 24336 = 360^2 + 156^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

153936 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 5 ways as a sum of consecutive naturals, for example, 391 + ... + 678.

2¹⁵³⁹³⁶ is an apocalyptic number.

153936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153936 is an abundant number, since it is smaller than the sum of its proper divisors (277274).

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

153936 is a wasteful number, since it uses less digits than its factorization.

153936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1074 counting only the distinct ones).

The product of its digits is 2430, while the sum is 27.

The square root of 153936 is about 392.3467853825. The cubic root of 153936 is about 53.5936578224.

It can be divided in two parts, 153 and 936, that added together give a square (1089 = 33²).

The spelling of 153936 in words is "one hundred fifty-three thousand, nine hundred thirty-six".