138152308140 has 216 divisors, whose sum is σ = 531797050512. Its totient is φ = 28706952960.

The previous prime is 138152308127. The next prime is 138152308153. The reversal of 138152308140 is 41803251831.

138152308140 is a `hidden beast` number, since 1 + 381 + 5 + 230 + 8 + 1 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (138152308127) and next prime (138152308153).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138152308095 and 138152308104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 614959 + ... + 808998.

It is an arithmetic number, because the mean of its divisors is an integer number (2462023382).

Almost surely, 2^138152308140 is an apocalyptic number.

138152308140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138152308140 is an abundant number, since it is smaller than the sum of its proper divisors (393644742372).

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

138152308140 is a wasteful number, since it uses less digits than its factorization.

138152308140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423997 (or 1423985 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 138152308140 its reverse (41803251831), we get a palindrome (179955559971).

The spelling of 138152308140 in words is "one hundred thirty-eight billion, one hundred fifty-two million, three hundred eight thousand, one hundred forty".