138513951360 has 192 divisors, whose sum is σ = 483238927080. Its totient is φ = 36556111872.

The previous prime is 138513951343. The next prime is 138513951377. The reversal of 138513951360 is 63159315831.

138513951360 is a `hidden beast` number, since 1 + 38 + 513 + 95 + 13 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138513951343) and next prime (138513951377).

It can be written as a sum of positive squares in 4 ways, for example, as 72653967936 + 65859983424 = 269544^2 + 256632^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×138513951360² (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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434764 + ... + 682676.

Almost surely, 2^138513951360 is an apocalyptic number.

138513951360 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 138513951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241619463540).

138513951360 is an abundant number, since it is smaller than the sum of its proper divisors (344724975720).

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

138513951360 is a wasteful number, since it uses less digits than its factorization.

138513951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248035 (or 248020 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 138513951360 in words is "one hundred thirty-eight billion, five hundred thirteen million, nine hundred fifty-one thousand, three hundred sixty".