152653300 has 72 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 56496000.

The previous prime is 152653289. The next prime is 152653307. The reversal of 152653300 is 3356251.

It is a happy number.

152653300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152653307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70230 + ... + 72370.

It is an arithmetic number, because the mean of its divisors is an integer number (4958016).

Almost surely, 2^152653300 is an apocalyptic number.

152653300 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 152653300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

152653300 is an abundant number, since it is smaller than the sum of its proper divisors (204323852).

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

152653300 is a wasteful number, since it uses less digits than its factorization.

152653300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2209 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 152653300 is about 12355.2944117087. The cubic root of 152653300 is about 534.4438276427.

The spelling of 152653300 in words is "one hundred fifty-two million, six hundred fifty-three thousand, three hundred".