138900263040 has 1536 divisors, whose sum is σ = 643404902400. Its totient is φ = 26741145600.

The previous prime is 138900263023. The next prime is 138900263083. The reversal of 138900263040 is 40362009831.

138900263040 is a `hidden beast` number, since 13 + 8 + 9 + 0 + 0 + 2 + 630 + 4 + 0 = 666.

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 = 138900262986 and 138900263004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 446624485 + ... + 446624795.

It is an arithmetic number, because the mean of its divisors is an integer number (418883400).

Almost surely, 2^138900263040 is an apocalyptic number.

138900263040 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 138900263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321702451200).

138900263040 is an abundant number, since it is smaller than the sum of its proper divisors (504504639360).

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

138900263040 is a wasteful number, since it uses less digits than its factorization.

138900263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 138900263040 in words is "one hundred thirty-eight billion, nine hundred million, two hundred sixty-three thousand, forty".