138546176878096 has 45 divisors (see below), whose sum is σ = 290671573119111. Its totient is φ = 63944106834816.

The previous prime is 138546176878093. The next prime is 138546176878271. The reversal of 138546176878096 is 690878671645831.

The square root of 138546176878096 is 11770564.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6730060423696 + 131816116454400 = 2594236^2 + 11481120^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138546176878093) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 611956150 + ... + 612182506.

Almost surely, 2^{138546176878096} is an apocalyptic number.

138546176878096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138546176878096 is the 11770564-th square number.

It is an amenable number.

138546176878096 is an abundant number, since it is smaller than the sum of its proper divisors (152125396241015).

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

138546176878096 is an frugal number, since it uses more digits than its factorization.

138546176878096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452748 (or 226372 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 79.

The spelling of 138546176878096 in words is "one hundred thirty-eight trillion, five hundred forty-six billion, one hundred seventy-six million, eight hundred seventy-eight thousand, ninety-six".