138738600 has 648 divisors, whose sum is σ = 641580030. Its totient is φ = 26611200.

The previous prime is 138738569. The next prime is 138738659. The reversal of 138738600 is 6837831.

138738600 = 22³ + 23³ + ... + 153³.

138738600 is a `hidden beast` number, since 13 + 8 + 7 + 38 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 77053284 + 61685316 = 8778^2 + 7854^2 .

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

It is an unprimeable number.

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 161 ways as a sum of consecutive naturals, for example, 10672194 + ... + 10672206.

Almost surely, 2^138738600 is an apocalyptic number.

138738600 is a gapful number since it is divisible by the number (10) 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 138738600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320790015).

138738600 is an abundant number, since it is smaller than the sum of its proper divisors (502841430).

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

138738600 is a wasteful number, since it uses less digits than its factorization.

138738600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 138738600 is about 11778.7350763993. The cubic root of 138738600 is about 517.6852239018.

The spelling of 138738600 in words is "one hundred thirty-eight million, seven hundred thirty-eight thousand, six hundred".