137678901696 has 504 divisors, whose sum is σ = 489981270480. Its totient is φ = 36745519104.

The previous prime is 137678901671. The next prime is 137678901697. The reversal of 137678901696 is 696109876731.

It is a tau number, because it is divible by the number of its divisors (504).

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 (137678901697) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 39144930 + ... + 39148446.

Almost surely, 2^137678901696 is an apocalyptic number.

137678901696 is a gapful number since it is divisible by the number (16) 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 137678901696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244990635240).

137678901696 is an abundant number, since it is smaller than the sum of its proper divisors (352302368784).

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

137678901696 is a wasteful number, since it uses less digits than its factorization.

137678901696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3641 (or 3621 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 137678901696 in words is "one hundred thirty-seven billion, six hundred seventy-eight million, nine hundred one thousand, six hundred ninety-six".