153315000 has 120 divisors (see below), whose sum is σ = 519021360. Its totient is φ = 40872000.

The previous prime is 153314989. The next prime is 153315007. The reversal of 153315000 is 513351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153315007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 43297 + ... + 46703.

It is an arithmetic number, because the mean of its divisors is an integer number (4325178).

Almost surely, 2^153315000 is an apocalyptic number.

153315000 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 153315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259510680).

153315000 is an abundant number, since it is smaller than the sum of its proper divisors (365706360).

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

153315000 is a wasteful number, since it uses less digits than its factorization.

153315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 153315000 is about 12382.0434500934. The cubic root of 153315000 is about 535.2149251470.

Adding to 153315000 its reverse (513351), we get a palindrome (153828351).

The spelling of 153315000 in words is "one hundred fifty-three million, three hundred fifteen thousand".