153216456 has 64 divisors (see below), whose sum is σ = 404990400. Its totient is φ = 48169728.

The previous prime is 153216449. The next prime is 153216463. The reversal of 153216456 is 654612351.

It is an interprime number because it is at equal distance from previous prime (153216449) and next prime (153216463).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125706 + ... + 126918.

It is an arithmetic number, because the mean of its divisors is an integer number (6327975).

Almost surely, 2^153216456 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 153216456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202495200).

153216456 is an abundant number, since it is smaller than the sum of its proper divisors (251773944).

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

153216456 is a wasteful number, since it uses less digits than its factorization.

153216456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1514 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 153216456 is about 12378.0634995948. The cubic root of 153216456 is about 535.1002298601.

The spelling of 153216456 in words is "one hundred fifty-three million, two hundred sixteen thousand, four hundred fifty-six".