153345440 has 48 divisors (see below), whose sum is σ = 383595912. Its totient is φ = 57729024.

The previous prime is 153345431. The next prime is 153345463. The reversal of 153345440 is 44543351.

153345440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 98644624 + 54700816 = 9932^2 + 7396^2 .

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 7 ways as a sum of consecutive naturals, for example, 25469 + ... + 30908.

Almost surely, 2^153345440 is an apocalyptic number.

153345440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153345440 is an abundant number, since it is smaller than the sum of its proper divisors (230250472).

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

153345440 is a wasteful number, since it uses less digits than its factorization.

153345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56409 (or 56401 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 153345440 is about 12383.2725884558. The cubic root of 153345440 is about 535.2503443041.

Adding to 153345440 its reverse (44543351), we get a palindrome (197888791).

The spelling of 153345440 in words is "one hundred fifty-three million, three hundred forty-five thousand, four hundred forty".