168750144 has 42 divisors (see below), whose sum is σ = 483693470. Its totient is φ = 56249856.

The previous prime is 168750133. The next prime is 168750167. The reversal of 168750144 is 441057861.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 167961600 + 788544 = 12960^2 + 888^2 .

It is a super-2 number, since 2×168750144² = 56953222200041472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 168750099 and 168750108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145909 + ... + 147060.

Almost surely, 2^168750144 is an apocalyptic number.

It is an amenable number.

168750144 is an abundant number, since it is smaller than the sum of its proper divisors (314943326).

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

168750144 is a wasteful number, since it uses less digits than its factorization.

168750144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292987 (or 292974 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 168750144 is about 12990.3865993280. The cubic root of 168750144 is about 552.6048819814.

It can be divided in two parts, 168750 and 144, that multiplied together give a 5-th power (24300000 = 30⁵).

The spelling of 168750144 in words is "one hundred sixty-eight million, seven hundred fifty thousand, one hundred forty-four".