138724634880 has 1152 divisors, whose sum is σ = 576321661440. Its totient is φ = 31284264960.

The previous prime is 138724634843. The next prime is 138724634891. The reversal of 138724634880 is 88436427831.

138724634880 is a `hidden beast` number, since 1 + 3 + 87 + 24 + 63 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×138724634880² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 313147939 + ... + 313148381.

It is an arithmetic number, because the mean of its divisors is an integer number (500279220).

Almost surely, 2^138724634880 is an apocalyptic number.

138724634880 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 138724634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288160830720).

138724634880 is an abundant number, since it is smaller than the sum of its proper divisors (437597026560).

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

138724634880 is a wasteful number, since it uses less digits than its factorization.

138724634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 138724634880 in words is "one hundred thirty-eight billion, seven hundred twenty-four million, six hundred thirty-four thousand, eight hundred eighty".