167145888 has 288 divisors, whose sum is σ = 580680576. Its totient is φ = 40974336.

The previous prime is 167145883. The next prime is 167145911. The reversal of 167145888 is 888541761.

It is a happy number.

167145888 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167145883) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3153670 + ... + 3153722.

It is an arithmetic number, because the mean of its divisors is an integer number (2016252).

Almost surely, 2^167145888 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 167145888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290340288).

167145888 is an abundant number, since it is smaller than the sum of its proper divisors (413534688).

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

167145888 is a wasteful number, since it uses less digits than its factorization.

167145888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

The product of its digits is 430080, while the sum is 48.

The square root of 167145888 is about 12928.4913272972. The cubic root of 167145888 is about 550.8481547495.

The spelling of 167145888 in words is "one hundred sixty-seven million, one hundred forty-five thousand, eight hundred eighty-eight".