153138168 has 64 divisors (see below), whose sum is σ = 429828000. Its totient is φ = 50512896.

The previous prime is 153138149. The next prime is 153138191. The reversal of 153138168 is 861831351.

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 15 ways as a sum of consecutive naturals, for example, 17298 + ... + 24606.

Almost surely, 2^153138168 is an apocalyptic number.

153138168 is a gapful number since it is divisible by the number (18) 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 153138168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214914000).

153138168 is an abundant number, since it is smaller than the sum of its proper divisors (276689832).

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

153138168 is a wasteful number, since it uses less digits than its factorization.

153138168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7421 (or 7411 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 153138168 is about 12374.9007268745. The cubic root of 153138168 is about 535.0090754567.

The spelling of 153138168 in words is "one hundred fifty-three million, one hundred thirty-eight thousand, one hundred sixty-eight".