167541120 has 384 divisors, whose sum is σ = 644436000. Its totient is φ = 39911424.

The previous prime is 167541097. The next prime is 167541161. The reversal of 167541120 is 21145761.

It is a happy number.

167541120 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 (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2839651 + ... + 2839709.

Almost surely, 2^167541120 is an apocalyptic number.

167541120 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 167541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322218000).

167541120 is an abundant number, since it is smaller than the sum of its proper divisors (476894880).

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

167541120 is a wasteful number, since it uses less digits than its factorization.

167541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 167541120 is about 12943.7676122526. The cubic root of 167541120 is about 551.2819902147.

Adding to 167541120 its reverse (21145761), we get a palindrome (188686881).

The spelling of 167541120 in words is "one hundred sixty-seven million, five hundred forty-one thousand, one hundred twenty".