867150144 has 224 divisors, whose sum is σ = 3085551360. Its totient is φ = 233127936.

The previous prime is 867150133. The next prime is 867150157. The reversal of 867150144 is 441051768.

It is a happy number.

867150144 is a `hidden beast` number, since 86 + 71 + 501 + 4 + 4 = 666.

867150144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

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 = 867150099 and 867150108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203524 + ... + 207740.

Almost surely, 2^867150144 is an apocalyptic number.

867150144 is a gapful number since it is divisible by the number (84) 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 867150144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542775680).

867150144 is an abundant number, since it is smaller than the sum of its proper divisors (2218401216).

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

867150144 is a wasteful number, since it uses less digits than its factorization.

867150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 867150144 is about 29447.4131970874. The cubic root of 867150144 is about 953.5967600824.

The spelling of 867150144 in words is "eight hundred sixty-seven million, one hundred fifty thousand, one hundred forty-four".