138087600 has 240 divisors, whose sum is σ = 535822848. Its totient is φ = 29675520.

The previous prime is 138087559. The next prime is 138087601. The reversal of 138087600 is 6780831.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (138087601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 142317 + ... + 143283.

Almost surely, 2^138087600 is an apocalyptic number.

138087600 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 138087600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267911424).

138087600 is an abundant number, since it is smaller than the sum of its proper divisors (397735248).

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

138087600 is a wasteful number, since it uses less digits than its factorization.

138087600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 138087600 is about 11751.0680365659. The cubic root of 138087600 is about 516.8742465703.

The spelling of 138087600 in words is "one hundred thirty-eight million, eighty-seven thousand, six hundred".