137788697601 has 9 divisors (see below), whose sum is σ = 199029727299. Its totient is φ = 91858389336.

The previous prime is 137788697593. The next prime is 137788697603. The reversal of 137788697601 is 106796887731.

The square root of 137788697601 is 371199.

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

137788697601 is a `hidden beast` number, since 13 + 7 + 7 + 8 + 8 + 6 + 9 + 7 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112020743025 + 25767954576 = 334695^2 + 160524^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 137788697601 - 2³ = 137788697593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137788697603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1051731 + ... + 1175463.

Almost surely, 2^137788697601 is an apocalyptic number.

137788697601 is the 371199-th square number.

137788697601 is the 185600-th centered octagonal number.

It is an amenable number.

137788697601 is a deficient number, since it is larger than the sum of its proper divisors (61241029698).

137788697601 is an frugal number, since it uses more digits than its factorization.

137788697601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247472 (or 123736 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The spelling of 137788697601 in words is "one hundred thirty-seven billion, seven hundred eighty-eight million, six hundred ninety-seven thousand, six hundred one".