138496092701760 has 672 divisors, whose sum is σ = 496575209999232. Its totient is φ = 36741040128000.

The previous prime is 138496092701621. The next prime is 138496092701797. The reversal of 138496092701760 is 67107290694831.

138496092701760 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 9 + 609 + 2 + 7 + 0 + 17 + 6 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18288137334 + ... + 18288144906.

It is an arithmetic number, because the mean of its divisors is an integer number (738951205356).

Almost surely, 2^{138496092701760} is an apocalyptic number.

138496092701760 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 138496092701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248287604999616).

138496092701760 is an abundant number, since it is smaller than the sum of its proper divisors (358079117297472).

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

138496092701760 is an equidigital number, since it uses as much as digits as its factorization.

138496092701760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793 (or 8771 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 138496092701760 in words is "one hundred thirty-eight trillion, four hundred ninety-six billion, ninety-two million, seven hundred one thousand, seven hundred sixty".