138960510059520 has 704 divisors, whose sum is σ = 524574084902400. Its totient is φ = 34764037816320.

The previous prime is 138960510059513. The next prime is 138960510059521. The reversal of 138960510059520 is 25950015069831.

138960510059520 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 6 + 0 + 5 + 100 + 5 + 9 + 520 = 666.

It is a super-2 number, since 2×138960510059520² (a number of 29 digits) contains 22 as substring.

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 (138960510059521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 730779816 + ... + 730969944.

Almost surely, 2^{138960510059520} is an apocalyptic number.

138960510059520 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 138960510059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262287042451200).

138960510059520 is an abundant number, since it is smaller than the sum of its proper divisors (385613574842880).

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

138960510059520 is a wasteful number, since it uses less digits than its factorization.

138960510059520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190491 (or 190467 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 54.

The spelling of 138960510059520 in words is "one hundred thirty-eight trillion, nine hundred sixty billion, five hundred ten million, fifty-nine thousand, five hundred twenty".