137189769640 has 256 divisors, whose sum is σ = 400155033600. Its totient is φ = 41079398400.

The previous prime is 137189769631. The next prime is 137189769659. The reversal of 137189769640 is 46967981731.

137189769640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13266552 + ... + 13276888.

It is an arithmetic number, because the mean of its divisors is an integer number (1563105600).

Almost surely, 2^137189769640 is an apocalyptic number.

137189769640 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 137189769640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200077516800).

137189769640 is an abundant number, since it is smaller than the sum of its proper divisors (262965263960).

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

137189769640 is a wasteful number, since it uses less digits than its factorization.

137189769640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10532 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 61.

The spelling of 137189769640 in words is "one hundred thirty-seven billion, one hundred eighty-nine million, seven hundred sixty-nine thousand, six hundred forty".