137212765301961 has 32 divisors (see below), whose sum is σ = 208384243989120. Its totient is φ = 89198621209152.

The previous prime is 137212765301939. The next prime is 137212765301977. The reversal of 137212765301961 is 169103567212731.

137212765301961 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 1 + 276 + 5 + 301 + 9 + 61 = 666.

137212765301961 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137212765301961 - 2⁶ = 137212765301897 is a prime.

It is a super-2 number, since 2×137212765301961² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137212765301898 and 137212765301907.

It is not an unprimeable number, because it can be changed into a prime (137212765301981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 293895366 + ... + 294361871.

It is an arithmetic number, because the mean of its divisors is an integer number (6512007624660).

Almost surely, 2^{137212765301961} is an apocalyptic number.

It is an amenable number.

137212765301961 is a deficient number, since it is larger than the sum of its proper divisors (71171478687159).

137212765301961 is a wasteful number, since it uses less digits than its factorization.

137212765301961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588257462 (or 588257456 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 137212765301961 in words is "one hundred thirty-seven trillion, two hundred twelve billion, seven hundred sixty-five million, three hundred one thousand, nine hundred sixty-one".