139903761816 has 640 divisors, whose sum is σ = 518529876480. Its totient is φ = 34192502784.

The previous prime is 139903761769. The next prime is 139903761817. The reversal of 139903761816 is 618167309931.

It is a happy number.

139903761816 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 0 + 3 + 7 + 618 + 16 = 666.

139903761816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139903761817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67163511 + ... + 67165593.

It is an arithmetic number, because the mean of its divisors is an integer number (810202932).

Almost surely, 2^139903761816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139903761816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259264938240).

139903761816 is an abundant number, since it is smaller than the sum of its proper divisors (378626114664).

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

139903761816 is a wasteful number, since it uses less digits than its factorization.

139903761816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 139903761816 in words is "one hundred thirty-nine billion, nine hundred three million, seven hundred sixty-one thousand, eight hundred sixteen".