153105344 has 56 divisors (see below), whose sum is σ = 365516160. Its totient is φ = 62159616.

The previous prime is 153105331. The next prime is 153105347. The reversal of 153105344 is 443501351.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×153105344² = 46882492722716672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153105347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 482 + ... + 17505.

Almost surely, 2^153105344 is an apocalyptic number.

153105344 is a gapful number since it is divisible by the number (14) 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 153105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182758080).

153105344 is an abundant number, since it is smaller than the sum of its proper divisors (212410816).

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

153105344 is a wasteful number, since it uses less digits than its factorization.

153105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18025 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 153105344 is about 12373.5744229386. The cubic root of 153105344 is about 534.9708476851.

Adding to 153105344 its reverse (443501351), we get a palindrome (596606695).

The spelling of 153105344 in words is "one hundred fifty-three million, one hundred five thousand, three hundred forty-four".