138845711520 has 384 divisors, whose sum is σ = 503131668480. Its totient is φ = 35724395520.

The previous prime is 138845711519. The next prime is 138845711527. The reversal of 138845711520 is 25117548831.

138845711520 is a `hidden beast` number, since 1 + 3 + 88 + 45 + 7 + 1 + 1 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (138845711527) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51290007 + ... + 51292713.

It is an arithmetic number, because the mean of its divisors is an integer number (1310238720).

Almost surely, 2^138845711520 is an apocalyptic number.

138845711520 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 138845711520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251565834240).

138845711520 is an abundant number, since it is smaller than the sum of its proper divisors (364285956960).

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

138845711520 is a wasteful number, since it uses less digits than its factorization.

138845711520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 138845711520 in words is "one hundred thirty-eight billion, eight hundred forty-five million, seven hundred eleven thousand, five hundred twenty".