138760179840 has 640 divisors, whose sum is σ = 552368678400. Its totient is φ = 32989151232.

The previous prime is 138760179829. The next prime is 138760179841. The reversal of 138760179840 is 48971067831.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (138760179841) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16740177 + ... + 16748463.

It is an arithmetic number, because the mean of its divisors is an integer number (863076060).

Almost surely, 2^138760179840 is an apocalyptic number.

138760179840 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 138760179840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276184339200).

138760179840 is an abundant number, since it is smaller than the sum of its proper divisors (413608498560).

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

138760179840 is a wasteful number, since it uses less digits than its factorization.

138760179840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8354 (or 8333 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 138760179840 in words is "one hundred thirty-eight billion, seven hundred sixty million, one hundred seventy-nine thousand, eight hundred forty".