138676500 has 72 divisors (see below), whose sum is σ = 437492328. Its totient is φ = 36979200.

The previous prime is 138676487. The next prime is 138676501. The reversal of 138676500 is 5676831.

138676500 is a `hidden beast` number, since 1 + 3 + 86 + 76 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32421636 + 106254864 = 5694^2 + 10308^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138676501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10909 + ... + 19908.

Almost surely, 2^138676500 is an apocalyptic number.

138676500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138676500 is an abundant number, since it is smaller than the sum of its proper divisors (298815828).

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

138676500 is a wasteful number, since it uses less digits than its factorization.

138676500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30842 (or 30827 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 138676500 is about 11776.0986748583. The cubic root of 138676500 is about 517.6079729897.

The spelling of 138676500 in words is "one hundred thirty-eight million, six hundred seventy-six thousand, five hundred".