153657216 has 128 divisors (see below), whose sum is σ = 457898400. Its totient is φ = 50724864.

The previous prime is 153657193. The next prime is 153657221. The reversal of 153657216 is 612756351.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×153657216² = 47221080057741312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 597760 + ... + 598016.

Almost surely, 2^153657216 is an apocalyptic number.

153657216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153657216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228949200).

153657216 is an abundant number, since it is smaller than the sum of its proper divisors (304241184).

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

153657216 is a wasteful number, since it uses less digits than its factorization.

153657216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 153657216 is about 12395.8547910178. The cubic root of 153657216 is about 535.6128488171.

The spelling of 153657216 in words is "one hundred fifty-three million, six hundred fifty-seven thousand, two hundred sixteen".