137727463122 has 18 divisors (see below), whose sum is σ = 298412914917. Its totient is φ = 45908629536.

The previous prime is 137727463037. The next prime is 137727463127. The reversal of 137727463122 is 221364727731.

137727463122 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 2 + 7 + 4 + 631 + 2 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 109898217081 + 27829246041 = 331509^2 + 166821^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=262419.

It is not an unprimeable number, because it can be changed into a prime (137727463127) 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, 1530778 + ... + 1618250.

Almost surely, 2^137727463122 is an apocalyptic number.

137727463122 is an abundant number, since it is smaller than the sum of its proper divisors (160685451795).

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

137727463122 is an frugal number, since it uses more digits than its factorization.

137727463122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174954 (or 87478 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 137727463122 in words is "one hundred thirty-seven billion, seven hundred twenty-seven million, four hundred sixty-three thousand, one hundred twenty-two".