153561906 has 48 divisors (see below), whose sum is σ = 348382944. Its totient is φ = 50691744.

The previous prime is 153561883. The next prime is 153561907. The reversal of 153561906 is 609165351.

153561906 is a `hidden beast` number, since 1 + 5 + 3 + 561 + 90 + 6 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (153561907) 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 23 ways as a sum of consecutive naturals, for example, 50526 + ... + 53478.

It is an arithmetic number, because the mean of its divisors is an integer number (7257978).

Almost surely, 2^153561906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153561906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174191472).

153561906 is an abundant number, since it is smaller than the sum of its proper divisors (194821038).

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

153561906 is a wasteful number, since it uses less digits than its factorization.

153561906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 153561906 is about 12392.0097643603. The cubic root of 153561906 is about 535.5020831781.

The spelling of 153561906 in words is "one hundred fifty-three million, five hundred sixty-one thousand, nine hundred six".