167142144 has 72 divisors (see below), whose sum is σ = 479089072. Its totient is φ = 51425280.

The previous prime is 167142139. The next prime is 167142169. The reversal of 167142144 is 441241761.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614 + ... + 18354.

Almost surely, 2^167142144 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 167142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239544536).

167142144 is an abundant number, since it is smaller than the sum of its proper divisors (311946928).

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

167142144 is a wasteful number, since it uses less digits than its factorization.

167142144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16773 (or 16759 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 167142144 is about 12928.3465300092. The cubic root of 167142144 is about 550.8440417938.

It can be divided in two parts, 167 and 142144, that added together give a triangular number (142311 = T₅₃₃).

The spelling of 167142144 in words is "one hundred sixty-seven million, one hundred forty-two thousand, one hundred forty-four".