138895152 has 160 divisors (see below), whose sum is σ = 415687680. Its totient is φ = 39567360.

The previous prime is 138895093. The next prime is 138895157. The reversal of 138895152 is 251598831.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138895157) by changing a digit.

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, 719568 + ... + 719760.

It is an arithmetic number, because the mean of its divisors is an integer number (2598048).

Almost surely, 2^138895152 is an apocalyptic number.

138895152 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 138895152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207843840).

138895152 is an abundant number, since it is smaller than the sum of its proper divisors (276792528).

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

138895152 is a wasteful number, since it uses less digits than its factorization.

138895152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 138895152 is about 11785.3787380805. The cubic root of 138895152 is about 517.8798685856.

The spelling of 138895152 in words is "one hundred thirty-eight million, eight hundred ninety-five thousand, one hundred fifty-two".