138451168 has 48 divisors (see below), whose sum is σ = 285810336. Its totient is φ = 65894400.

The previous prime is 138451153. The next prime is 138451171. The reversal of 138451168 is 861154831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230068 + ... + 230668.

It is an arithmetic number, because the mean of its divisors is an integer number (5954382).

Almost surely, 2^138451168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138451168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142905168).

138451168 is an abundant number, since it is smaller than the sum of its proper divisors (147359168).

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

138451168 is a wasteful number, since it uses less digits than its factorization.

138451168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 939 counting only the distinct ones).

The product of its digits is 23040, while the sum is 37.

The square root of 138451168 is about 11766.5274401584. The cubic root of 138451168 is about 517.3274715624.

The spelling of 138451168 in words is "one hundred thirty-eight million, four hundred fifty-one thousand, one hundred sixty-eight".