461527062138 has 128 divisors (see below), whose sum is σ = 1150077450240. Its totient is φ = 136429920000.

The previous prime is 461527062137. The next prime is 461527062151. The reversal of 461527062138 is 831260725164.

461527062138 is a `hidden beast` number, since 4 + 6 + 15 + 2 + 7 + 0 + 621 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 461527062093 and 461527062102.

It is not an unprimeable number, because it can be changed into a prime (461527062131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1251513 + ... + 1577763.

It is an arithmetic number, because the mean of its divisors is an integer number (8984980080).

Almost surely, 2^461527062138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461527062138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575038725120).

461527062138 is an abundant number, since it is smaller than the sum of its proper divisors (688550388102).

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

461527062138 is a wasteful number, since it uses less digits than its factorization.

461527062138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326369 (or 326363 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 461527062138 in words is "four hundred sixty-one billion, five hundred twenty-seven million, sixty-two thousand, one hundred thirty-eight".