138511400 has 48 divisors (see below), whose sum is σ = 325274940. Its totient is φ = 54848000.

The previous prime is 138511367. The next prime is 138511447. The reversal of 138511400 is 4115831.

It can be written as a sum of positive squares in 6 ways, for example, as 42432196 + 96079204 = 6514^2 + 9802^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 16772 + ... + 23628.

Almost surely, 2^138511400 is an apocalyptic number.

138511400 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 138511400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162637470).

138511400 is an abundant number, since it is smaller than the sum of its proper divisors (186763540).

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

138511400 is a wasteful number, since it uses less digits than its factorization.

138511400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6974 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 138511400 is about 11769.0866255628. The cubic root of 138511400 is about 517.4024803211.

It can be divided in two parts, 13851 and 1400, that added together give a palindrome (15251).

The spelling of 138511400 in words is "one hundred thirty-eight million, five hundred eleven thousand, four hundred".