153245820 has 288 divisors, whose sum is σ = 566673408. Its totient is φ = 30191616.

The previous prime is 153245819. The next prime is 153245821. The reversal of 153245820 is 28542351.

It is an interprime number because it is at equal distance from previous prime (153245819) and next prime (153245821).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153245821) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1206597 + ... + 1206723.

It is an arithmetic number, because the mean of its divisors is an integer number (1967616).

Almost surely, 2^153245820 is an apocalyptic number.

153245820 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 153245820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283336704).

153245820 is an abundant number, since it is smaller than the sum of its proper divisors (413427588).

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

153245820 is a wasteful number, since it uses less digits than its factorization.

153245820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 153245820 is about 12379.2495733788. The cubic root of 153245820 is about 535.1344117400.

The spelling of 153245820 in words is "one hundred fifty-three million, two hundred forty-five thousand, eight hundred twenty".