138771600 has 120 divisors (see below), whose sum is σ = 484989792. Its totient is φ = 33638400.

The previous prime is 138771587. The next prime is 138771653. The reversal of 138771600 is 6177831.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 7944 + ... + 18456.

Almost surely, 2^138771600 is an apocalyptic number.

138771600 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 138771600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242494896).

138771600 is an abundant number, since it is smaller than the sum of its proper divisors (346218192).

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

138771600 is a wasteful number, since it uses less digits than its factorization.

138771600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10545 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 138771600 is about 11780.1358226465. The cubic root of 138771600 is about 517.7262657317.

The spelling of 138771600 in words is "one hundred thirty-eight million, seven hundred seventy-one thousand, six hundred".