138858693120 has 640 divisors, whose sum is σ = 575302464000. Its totient is φ = 31733710848.

The previous prime is 138858693107. The next prime is 138858693137. The reversal of 138858693120 is 21396858831.

138858693120 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 586 + 9 + 31 + 20 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23705232 + ... + 23711088.

It is an arithmetic number, because the mean of its divisors is an integer number (898910100).

Almost surely, 2^138858693120 is an apocalyptic number.

138858693120 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 138858693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287651232000).

138858693120 is an abundant number, since it is smaller than the sum of its proper divisors (436443770880).

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

138858693120 is an frugal number, since it uses more digits than its factorization.

138858693120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5910 (or 5874 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 138858693120 in words is "one hundred thirty-eight billion, eight hundred fifty-eight million, six hundred ninety-three thousand, one hundred twenty".