153413344 has 48 divisors (see below), whose sum is σ = 348649056. Its totient is φ = 65088000.

The previous prime is 153413269. The next prime is 153413363. The reversal of 153413344 is 443314351.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19234 + ... + 26014.

It is an arithmetic number, because the mean of its divisors is an integer number (7263522).

Almost surely, 2^153413344 is an apocalyptic number.

153413344 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 153413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174324528).

153413344 is an abundant number, since it is smaller than the sum of its proper divisors (195235712).

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

153413344 is a wasteful number, since it uses less digits than its factorization.

153413344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6899 (or 6891 counting only the distinct ones).

The product of its digits is 8640, while the sum is 28.

The square root of 153413344 is about 12386.0140481109. The cubic root of 153413344 is about 535.3293386667.

Adding to 153413344 its reverse (443314351), we get a palindrome (596727695).

It can be divided in two parts, 1534 and 13344, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 153413344 in words is "one hundred fifty-three million, four hundred thirteen thousand, three hundred forty-four".