138480736900 has 243 divisors, whose sum is σ = 352649874927. Its totient is φ = 47156313600.

The previous prime is 138480736897. The next prime is 138480736907. The reversal of 138480736900 is 9637084831.

It is a happy number.

The square root of 138480736900 is 372130.

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 3239203396 + 135241533504 = 56914^2 + 367752^2 .

It is a super-2 number, since 2×138480736900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138480736907) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 695883001 + ... + 695883199.

Almost surely, 2^138480736900 is an apocalyptic number.

138480736900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

138480736900 is the 372130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138480736900

138480736900 is an abundant number, since it is smaller than the sum of its proper divisors (214169138027).

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

138480736900 is a wasteful number, since it uses less digits than its factorization.

138480736900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

Multiplying 138480736900 by its sum of digits (49), we get a square (6785556108100 = 2604910²).

The spelling of 138480736900 in words is "one hundred thirty-eight billion, four hundred eighty million, seven hundred thirty-six thousand, nine hundred".