153345000 has 80 divisors (see below), whose sum is σ = 479096640. Its totient is φ = 40888000.

The previous prime is 153344999. The next prime is 153345001. The reversal of 153345000 is 543351.

It is an interprime number because it is at equal distance from previous prime (153344999) and next prime (153345001).

It is not an unprimeable number, because it can be changed into a prime (153345001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9889 + ... + 20111.

It is an arithmetic number, because the mean of its divisors is an integer number (5988708).

Almost surely, 2^153345000 is an apocalyptic number.

153345000 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 153345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239548320).

153345000 is an abundant number, since it is smaller than the sum of its proper divisors (325751640).

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

153345000 is a wasteful number, since it uses less digits than its factorization.

153345000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10252 (or 10233 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 153345000 is about 12383.2548225416. The cubic root of 153345000 is about 535.2498323654.

Adding to 153345000 its reverse (543351), we get a palindrome (153888351).

The spelling of 153345000 in words is "one hundred fifty-three million, three hundred forty-five thousand".