137102276556740 has 384 divisors, whose sum is σ = 336163706081280. Its totient is φ = 46446656256000.

The previous prime is 137102276556719. The next prime is 137102276556757. The reversal of 137102276556740 is 47655672201731.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68448464579 + ... + 68448466581.

It is an arithmetic number, because the mean of its divisors is an integer number (875426317920).

Almost surely, 2^{137102276556740} is an apocalyptic number.

137102276556740 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 137102276556740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168081853040640).

137102276556740 is an abundant number, since it is smaller than the sum of its proper divisors (199061429524540).

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

137102276556740 is a wasteful number, since it uses less digits than its factorization.

137102276556740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3163 (or 3161 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 56.

The spelling of 137102276556740 in words is "one hundred thirty-seven trillion, one hundred two billion, two hundred seventy-six million, five hundred fifty-six thousand, seven hundred forty".