138195631503360 has 288 divisors, whose sum is σ = 487079232822000. Its totient is φ = 36227553951744.

The previous prime is 138195631503283. The next prime is 138195631503427. The reversal of 138195631503360 is 63305136591831.

138195631503360 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 9 + 563 + 15 + 0 + 3 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×138195631503360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 138195631503297 and 138195631503306.

It is a congruent number.

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, 7270345 + ... + 18145224.

Almost surely, 2^{138195631503360} is an apocalyptic number.

138195631503360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138195631503360 is an abundant number, since it is smaller than the sum of its proper divisors (348883601318640).

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

138195631503360 is a wasteful number, since it uses less digits than its factorization.

138195631503360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25415661 (or 25415638 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 138195631503360 in words is "one hundred thirty-eight trillion, one hundred ninety-five billion, six hundred thirty-one million, five hundred three thousand, three hundred sixty".