167145552 has 160 divisors (see below), whose sum is σ = 566312960. Its totient is φ = 46189440.

The previous prime is 167145533. The next prime is 167145611. The reversal of 167145552 is 255541761.

167145552 is a `hidden beast` number, since 1 + 67 + 1 + 45 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92853 + ... + 94635.

It is an arithmetic number, because the mean of its divisors is an integer number (3539456).

Almost surely, 2^167145552 is an apocalyptic number.

167145552 is a gapful number since it is divisible by the number (12) 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 167145552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283156480).

167145552 is an abundant number, since it is smaller than the sum of its proper divisors (399167408).

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

167145552 is a wasteful number, since it uses less digits than its factorization.

167145552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1826 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 167145552 is about 12928.4783327351. The cubic root of 167145552 is about 550.8477856406.

The spelling of 167145552 in words is "one hundred sixty-seven million, one hundred forty-five thousand, five hundred fifty-two".