153120816 has 60 divisors (see below), whose sum is σ = 436632768. Its totient is φ = 50074752.

The previous prime is 153120809. The next prime is 153120859. The reversal of 153120816 is 618021351.

It is a self number, because there is not a number n which added to its sum of digits gives 153120816.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2400 + ... + 17663.

Almost surely, 2^153120816 is an apocalyptic number.

153120816 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 153120816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

153120816 is an abundant number, since it is smaller than the sum of its proper divisors (283511952).

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

153120816 is a wasteful number, since it uses less digits than its factorization.

153120816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20130 (or 20121 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 153120816 is about 12374.1996104799. The cubic root of 153120816 is about 534.9888675006.

The spelling of 153120816 in words is "one hundred fifty-three million, one hundred twenty thousand, eight hundred sixteen".