137678844601 has 27 divisors (see below), whose sum is σ = 148258954053. Its totient is φ = 127834490520.

The previous prime is 137678844599. The next prime is 137678844617. The reversal of 137678844601 is 106448876731.

The square root of 137678844601 is 371051.

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

It is not a de Polignac number, because 137678844601 - 2¹ = 137678844599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137678844631) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 415948006 + ... + 415948336.

Almost surely, 2^137678844601 is an apocalyptic number.

137678844601 is the 371051-st square number.

137678844601 is the 185526-th centered octagonal number.

It is an amenable number.

137678844601 is a deficient number, since it is larger than the sum of its proper divisors (10580109452).

137678844601 is an frugal number, since it uses more digits than its factorization.

137678844601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 55.

The spelling of 137678844601 in words is "one hundred thirty-seven billion, six hundred seventy-eight million, eight hundred forty-four thousand, six hundred one".