138573140 has 48 divisors (see below), whose sum is σ = 300405504. Its totient is φ = 53654400.

The previous prime is 138573139. The next prime is 138573157. The reversal of 138573140 is 41375831.

It is a junction number, because it is equal to n+sod(n) for n = 138573097 and 138573106.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 200195 + ... + 200885.

It is an arithmetic number, because the mean of its divisors is an integer number (6258448).

Almost surely, 2^138573140 is an apocalyptic number.

138573140 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 138573140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150202752).

138573140 is an abundant number, since it is smaller than the sum of its proper divisors (161832364).

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

138573140 is a wasteful number, since it uses less digits than its factorization.

138573140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 1006 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 138573140 is about 11771.7093066385. The cubic root of 138573140 is about 517.4793444734.

The spelling of 138573140 in words is "one hundred thirty-eight million, five hundred seventy-three thousand, one hundred forty".