137646770688 has 640 divisors, whose sum is σ = 499611594240. Its totient is φ = 36978425856.

The previous prime is 137646770687. The next prime is 137646770743. The reversal of 137646770688 is 886077646731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137646770683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133249020 + ... + 133250052.

It is an arithmetic number, because the mean of its divisors is an integer number (780643116).

Almost surely, 2^137646770688 is an apocalyptic number.

137646770688 is a gapful number since it is divisible by the number (18) 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 137646770688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249805797120).

137646770688 is an abundant number, since it is smaller than the sum of its proper divisors (361964823552).

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

137646770688 is an frugal number, since it uses more digits than its factorization.

137646770688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 137646770688 in words is "one hundred thirty-seven billion, six hundred forty-six million, seven hundred seventy thousand, six hundred eighty-eight".