153864144 has 320 divisors, whose sum is σ = 554964480. Its totient is φ = 39813120.

The previous prime is 153864091. The next prime is 153864149. The reversal of 153864144 is 441468351.

153864144 is a `hidden beast` number, since 1 + 5 + 3 + 8 + 641 + 4 + 4 = 666.

153864144 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 153864099 and 153864108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153864149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2107692 + ... + 2107764.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^153864144 is an apocalyptic number.

153864144 is a gapful number since it is divisible by the number (14) 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 153864144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277482240).

153864144 is an abundant number, since it is smaller than the sum of its proper divisors (401100336).

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

153864144 is a wasteful number, since it uses less digits than its factorization.

153864144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 143 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 153864144 is about 12404.1986440076. The cubic root of 153864144 is about 535.8531750513.

The spelling of 153864144 in words is "one hundred fifty-three million, eight hundred sixty-four thousand, one hundred forty-four".