138472694640 has 960 divisors, whose sum is σ = 592545408000. Its totient is φ = 29957630976.

The previous prime is 138472694629. The next prime is 138472694671. The reversal of 138472694640 is 46496274831.

138472694640 is a `hidden beast` number, since 1 + 38 + 472 + 69 + 46 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 126689934 + ... + 126691026.

It is an arithmetic number, because the mean of its divisors is an integer number (617234800).

Almost surely, 2^138472694640 is an apocalyptic number.

138472694640 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 138472694640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296272704000).

138472694640 is an abundant number, since it is smaller than the sum of its proper divisors (454072713360).

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

138472694640 is a wasteful number, since it uses less digits than its factorization.

138472694640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 138472694640 in words is "one hundred thirty-eight billion, four hundred seventy-two million, six hundred ninety-four thousand, six hundred forty".