137643968016 has 135 divisors (see below), whose sum is σ = 394927963599. Its totient is φ = 44751986496.

The previous prime is 137643967999. The next prime is 137643968047. The reversal of 137643968016 is 610869346731.

It is a happy number.

The square root of 137643968016 is 371004.

It is a perfect power (a square), and thus also a powerful number.

137643968016 is a `hidden beast` number, since 137 + 6 + 439 + 68 + 0 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 191437705 + ... + 191438423.

Almost surely, 2^137643968016 is an apocalyptic number.

137643968016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

137643968016 is the 371004-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137643968016

137643968016 is an abundant number, since it is smaller than the sum of its proper divisors (257283995583).

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

137643968016 is an frugal number, since it uses more digits than its factorization.

137643968016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 137643968016 in words is "one hundred thirty-seven billion, six hundred forty-three million, nine hundred sixty-eight thousand, sixteen".