136951064761 has 27 divisors (see below), whose sum is σ = 165083870991. Its totient is φ = 113276640624.

The previous prime is 136951064749. The next prime is 136951064797. The reversal of 136951064761 is 167460159631.

It is a happy number.

The square root of 136951064761 is 370069.

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

It can be written as a sum of positive squares in only one way, i.e., 71813816361 + 65137248400 = 267981^2 + 255220^2 .

It is not a de Polignac number, because 136951064761 - 2²⁷ = 136816847033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (136951064561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75123096 + ... + 75124918.

Almost surely, 2^136951064761 is an apocalyptic number.

136951064761 is the 370069-th square number.

136951064761 is the 185035-th centered octagonal number.

It is an amenable number.

136951064761 is a deficient number, since it is larger than the sum of its proper divisors (28132806230).

136951064761 is an frugal number, since it uses more digits than its factorization.

136951064761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

Multiplying 136951064761 by its sum of digits (49), we get a square (6710602173289 = 2590483²).

136951064761 divided by its sum of digits (49) gives a square (2794919689 = 52867²).

The spelling of 136951064761 in words is "one hundred thirty-six billion, nine hundred fifty-one million, sixty-four thousand, seven hundred sixty-one".