138917340900 has 324 divisors, whose sum is σ = 488977109712. Its totient is φ = 34194026880.

The previous prime is 138917340869. The next prime is 138917340923. The reversal of 138917340900 is 9043719831.

138917340900 is a `hidden beast` number, since 138 + 91 + 7 + 340 + 90 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4089787 + ... + 4123613.

Almost surely, 2^138917340900 is an apocalyptic number.

138917340900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138917340900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244488554856).

138917340900 is an abundant number, since it is smaller than the sum of its proper divisors (350059768812).

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

138917340900 is a wasteful number, since it uses less digits than its factorization.

138917340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33882 (or 33850 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 138917340900 in words is "one hundred thirty-eight billion, nine hundred seventeen million, three hundred forty thousand, nine hundred".