153089916 has 144 divisors (see below), whose sum is σ = 445858560. Its totient is φ = 40642560.

The previous prime is 153089899. The next prime is 153089939. The reversal of 153089916 is 619980351.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793116 + ... + 793308.

It is an arithmetic number, because the mean of its divisors is an integer number (3096240).

Almost surely, 2^153089916 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 153089916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222929280).

153089916 is an abundant number, since it is smaller than the sum of its proper divisors (292768644).

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

153089916 is a wasteful number, since it uses less digits than its factorization.

153089916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 42.

The square root of 153089916 is about 12372.9509818798. The cubic root of 153089916 is about 534.9528779063.

The spelling of 153089916 in words is "one hundred fifty-three million, eighty-nine thousand, nine hundred sixteen".