138306096 has 40 divisors (see below), whose sum is σ = 396990960. Its totient is φ = 46101888.

The previous prime is 138306071. The next prime is 138306131. The reversal of 138306096 is 690603831.

It is a happy number.

138306096 is a `hidden beast` number, since 13 + 8 + 30 + 609 + 6 = 666.

It is a super-2 number, since 2×138306096² = 38257152381522432, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 138306096.

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 7 ways as a sum of consecutive naturals, for example, 159645 + ... + 160508.

It is an arithmetic number, because the mean of its divisors is an integer number (9924774).

Almost surely, 2^138306096 is an apocalyptic number.

138306096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138306096 is an abundant number, since it is smaller than the sum of its proper divisors (258684864).

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

138306096 is a wasteful number, since it uses less digits than its factorization.

138306096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320170 (or 320158 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 138306096 is about 11760.3612189422. The cubic root of 138306096 is about 517.1467196044.

The spelling of 138306096 in words is "one hundred thirty-eight million, three hundred six thousand, ninety-six".