138246737850 has 480 divisors, whose sum is σ = 440438278896. Its totient is φ = 31850496000.

The previous prime is 138246737819. The next prime is 138246737851. The reversal of 138246737850 is 58737642831.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 14356113489 + 123890624361 = 119817^2 + 351981^2 .

It is a super-2 number, since 2×138246737850² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (138246737851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 230027550 + ... + 230028150.

Almost surely, 2^138246737850 is an apocalyptic number.

138246737850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138246737850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220219139448).

138246737850 is an abundant number, since it is smaller than the sum of its proper divisors (302191541046).

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

138246737850 is a wasteful number, since it uses less digits than its factorization.

138246737850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

It can be divided in two parts, 138246 and 737850, that added together give a square (876096 = 936²).

The spelling of 138246737850 in words is "one hundred thirty-eight billion, two hundred forty-six million, seven hundred thirty-seven thousand, eight hundred fifty".