137652386112 has 336 divisors, whose sum is σ = 415244304384. Its totient is φ = 43545600000.

The previous prime is 137652386101. The next prime is 137652386171. The reversal of 137652386112 is 211683256731.

It is a happy number.

137652386112 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 5 + 23 + 8 + 611 + 2 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 229038612 + ... + 229039212.

It is an arithmetic number, because the mean of its divisors is an integer number (1235846144).

Almost surely, 2^137652386112 is an apocalyptic number.

137652386112 is a gapful number since it is divisible by the number (12) 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 137652386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207622152192).

137652386112 is an abundant number, since it is smaller than the sum of its proper divisors (277591918272).

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

137652386112 is a wasteful number, since it uses less digits than its factorization.

137652386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 865 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 137652386112 in words is "one hundred thirty-seven billion, six hundred fifty-two million, three hundred eighty-six thousand, one hundred twelve".