153345040 has 80 divisors (see below), whose sum is σ = 372052080. Its totient is φ = 58705920.

The previous prime is 153345013. The next prime is 153345047. The reversal of 153345040 is 40543351.

It can be written as a sum of positive squares in 8 ways, for example, as 38340864 + 115004176 = 6192^2 + 10724^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 153344996 and 153345014.

It is not an unprimeable number, because it can be changed into a prime (153345047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364030 + ... + 364450.

It is an arithmetic number, because the mean of its divisors is an integer number (4650651).

Almost surely, 2^153345040 is an apocalyptic number.

153345040 is a gapful number since it is divisible by the number (10) 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 153345040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186026040).

153345040 is an abundant number, since it is smaller than the sum of its proper divisors (218707040).

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

153345040 is a wasteful number, since it uses less digits than its factorization.

153345040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 153345040 is about 12383.2564376258. The cubic root of 153345040 is about 535.2498789054.

Adding to 153345040 its reverse (40543351), we get a palindrome (193888391).

The spelling of 153345040 in words is "one hundred fifty-three million, three hundred forty-five thousand, forty".