153861084 has 144 divisors (see below), whose sum is σ = 450751392. Its totient is φ = 43831296.

The previous prime is 153861083. The next prime is 153861121. The reversal of 153861084 is 480168351.

153861084 is a `hidden beast` number, since 1 + 5 + 38 + 610 + 8 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153861083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 660232 + ... + 660464.

It is an arithmetic number, because the mean of its divisors is an integer number (3130218).

Almost surely, 2^153861084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153861084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225375696).

153861084 is an abundant number, since it is smaller than the sum of its proper divisors (296890308).

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

153861084 is a wasteful number, since it uses less digits than its factorization.

153861084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 153861084 is about 12404.0752980623. The cubic root of 153861084 is about 535.8496227366.

The spelling of 153861084 in words is "one hundred fifty-three million, eight hundred sixty-one thousand, eighty-four".