138140857440 has 288 divisors, whose sum is σ = 488198430720. Its totient is φ = 35546047488.

The previous prime is 138140857433. The next prime is 138140857453. The reversal of 138140857440 is 44758041831.

138140857440 is a `hidden beast` number, since 1 + 38 + 1 + 4 + 0 + 8 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5125921 + ... + 5152799.

It is an arithmetic number, because the mean of its divisors is an integer number (1695133440).

Almost surely, 2^138140857440 is an apocalyptic number.

138140857440 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 138140857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244099215360).

138140857440 is an abundant number, since it is smaller than the sum of its proper divisors (350057573280).

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

138140857440 is a wasteful number, since it uses less digits than its factorization.

138140857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27026 (or 27015 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 138140857440 in words is "one hundred thirty-eight billion, one hundred forty million, eight hundred fifty-seven thousand, four hundred forty".