153638820 has 72 divisors (see below), whose sum is σ = 467321400. Its totient is φ = 40857600.

The previous prime is 153638819. The next prime is 153638851. The reversal of 153638820 is 28836351.

153638820 is a `hidden beast` number, since 15 + 3 + 638 + 8 + 2 + 0 = 666.

153638820 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 2643876 + 150994944 = 1626^2 + 12288^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79870 + ... + 81770.

It is an arithmetic number, because the mean of its divisors is an integer number (6490575).

Almost surely, 2^153638820 is an apocalyptic number.

153638820 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 153638820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233660700).

153638820 is an abundant number, since it is smaller than the sum of its proper divisors (313682580).

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

153638820 is a wasteful number, since it uses less digits than its factorization.

153638820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 153638820 is about 12395.1127465627. The cubic root of 153638820 is about 535.5914732569.

The spelling of 153638820 in words is "one hundred fifty-three million, six hundred thirty-eight thousand, eight hundred twenty".