167131120 has 80 divisors (see below), whose sum is σ = 420723072. Its totient is φ = 61378560.

The previous prime is 167131079. The next prime is 167131121. The reversal of 167131120 is 21131761.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×167131120² = 55865622544908800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 167131091 and 167131100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167131121) 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 15 ways as a sum of consecutive naturals, for example, 281544 + ... + 282136.

Almost surely, 2^167131120 is an apocalyptic number.

167131120 is a gapful number since it is divisible by the number (10) 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 167131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210361536).

167131120 is an abundant number, since it is smaller than the sum of its proper divisors (253591952).

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

167131120 is a wasteful number, since it uses less digits than its factorization.

167131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 22.

The square root of 167131120 is about 12927.9201730209. The cubic root of 167131120 is about 550.8319310676.

Adding to 167131120 its reverse (21131761), we get a palindrome (188262881).

The spelling of 167131120 in words is "one hundred sixty-seven million, one hundred thirty-one thousand, one hundred twenty".