138356010 has 48 divisors (see below), whose sum is σ = 387400104. Its totient is φ = 34056576.

The previous prime is 138355981. The next prime is 138356011. The reversal of 138356010 is 10653831.

138356010 is a `hidden beast` number, since 13 + 83 + 560 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 92102409 + 46253601 = 9597^2 + 6801^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138356011) 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 23 ways as a sum of consecutive naturals, for example, 57957 + ... + 60296.

Almost surely, 2^138356010 is an apocalyptic number.

138356010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138356010 is an abundant number, since it is smaller than the sum of its proper divisors (249044094).

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

138356010 is a wasteful number, since it uses less digits than its factorization.

138356010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118279 (or 118276 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 138356010 is about 11762.4831562047. The cubic root of 138356010 is about 517.2089240371.

The spelling of 138356010 in words is "one hundred thirty-eight million, three hundred fifty-six thousand, ten".