10138155037992 has 48 divisors (see below), whose sum is σ = 28199597917140. Its totient is φ = 3288050281728.

The previous prime is 10138155037981. The next prime is 10138155037993. The reversal of 10138155037992 is 29973055183101.

10138155037992 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 81 + 550 + 3 + 7 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10070124835716 + 68030202276 = 3173346^2 + 260826^2 .

It is a super-3 number, since 3×10138155037992³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10138155037993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1902804213 + ... + 1902809540.

Almost surely, 2^{10138155037992} is an apocalyptic number.

10138155037992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10138155037992 is an abundant number, since it is smaller than the sum of its proper divisors (18061442879148).

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

10138155037992 is a wasteful number, since it uses less digits than its factorization.

10138155037992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3805613802 (or 3805613795 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 10138155037992 in words is "ten trillion, one hundred thirty-eight billion, one hundred fifty-five million, thirty-seven thousand, nine hundred ninety-two".