138515736240 has 360 divisors, whose sum is σ = 541712413008. Its totient is φ = 31626685440.

The previous prime is 138515736173. The next prime is 138515736241. The reversal of 138515736240 is 42637515831.

It is a happy number.

138515736240 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 15 + 7 + 3 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×138515736240² (a number of 23 digits) contains 22 as substring.

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 (138515736241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48720259 + ... + 48723101.

Almost surely, 2^138515736240 is an apocalyptic number.

138515736240 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 138515736240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270856206504).

138515736240 is an abundant number, since it is smaller than the sum of its proper divisors (403196676768).

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

138515736240 is a wasteful number, since it uses less digits than its factorization.

138515736240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4257 (or 4241 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 138515736240 in words is "one hundred thirty-eight billion, five hundred fifteen million, seven hundred thirty-six thousand, two hundred forty".