153916 has 24 divisors (see below), whose sum is σ = 322560. Its totient is φ = 62832.

The previous prime is 153913. The next prime is 153929. The reversal of 153916 is 619351.

153916 = T₁₀₄ + T₁₀₅ + ... + T₁₂₆.

153916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 525 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2¹⁵³⁹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

153916 is an abundant number, since it is smaller than the sum of its proper divisors (168644).

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

153916 is a wasteful number, since it uses less digits than its factorization.

153916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 271 counting only the distinct ones).

The product of its digits is 810, while the sum is 25.

The square root of 153916 is about 392.3212968983. The cubic root of 153916 is about 53.5913366855.

The spelling of 153916 in words is "one hundred fifty-three thousand, nine hundred sixteen".