138734240102500 has 405 divisors, whose sum is σ = 358594675824231. Its totient is φ = 46812669120000.

The previous prime is 138734240102459. The next prime is 138734240102527. The reversal of 138734240102500 is 5201042437831.

The square root of 138734240102500 is 11778550.

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

It can be written as a sum of positive squares in 22 ways, for example, as 117745893762084 + 20988346340416 = 10851078^2 + 4581304^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 300941952270 + ... + 300941952730.

Almost surely, 2^{138734240102500} is an apocalyptic number.

138734240102500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138734240102500 is the 11778550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138734240102500

138734240102500 is an abundant number, since it is smaller than the sum of its proper divisors (219860435721731).

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

138734240102500 is an frugal number, since it uses more digits than its factorization.

138734240102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 138734240102500 in words is "one hundred thirty-eight trillion, seven hundred thirty-four billion, two hundred forty million, one hundred two thousand, five hundred".