138750114240 has 224 divisors, whose sum is σ = 495677952000. Its totient is φ = 36531495936.

The previous prime is 138750114233. The next prime is 138750114263. The reversal of 138750114240 is 42411057831.

138750114240 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 501 + 142 + 4 + 0 = 666.

It is a super-2 number, since 2×138750114240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138750114195 and 138750114204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 580921 + ... + 784199.

It is an arithmetic number, because the mean of its divisors is an integer number (2212848000).

Almost surely, 2^138750114240 is an apocalyptic number.

138750114240 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 138750114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247838976000).

138750114240 is an abundant number, since it is smaller than the sum of its proper divisors (356927837760).

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

138750114240 is a wasteful number, since it uses less digits than its factorization.

138750114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203384 (or 203368 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 138750114240 in words is "one hundred thirty-eight billion, seven hundred fifty million, one hundred fourteen thousand, two hundred forty".