153894816 has 108 divisors (see below), whose sum is σ = 455067522. Its totient is φ = 51228288.

The previous prime is 153894791. The next prime is 153894841. The reversal of 153894816 is 618498351.

It is an interprime number because it is at equal distance from previous prime (153894791) and next prime (153894841).

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 65610000 = 9396^2 + 8100^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×153894816² = 47367228783347712, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 209586 + ... + 210318.

Almost surely, 2^153894816 is an apocalyptic number.

153894816 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 153894816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227533761).

153894816 is an abundant number, since it is smaller than the sum of its proper divisors (301172706).

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

153894816 is an frugal number, since it uses more digits than its factorization.

153894816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 738 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 153894816 is about 12405.4349379617. The cubic root of 153894816 is about 535.8887791805. Note that the first 3 decimals are identical.

The spelling of 153894816 in words is "one hundred fifty-three million, eight hundred ninety-four thousand, eight hundred sixteen".