138351265936 has 135 divisors (see below), whose sum is σ = 304408919577. Its totient is φ = 60881758080.

The previous prime is 138351265907. The next prime is 138351266003. The reversal of 138351265936 is 639562153831.

The square root of 138351265936 is 371956.

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

It can be written as a sum of positive squares in only one way, i.e., 20466163600 + 117885102336 = 143060^2 + 343344^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 444859221 + ... + 444859531.

Almost surely, 2^138351265936 is an apocalyptic number.

138351265936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

138351265936 is the 371956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138351265936

138351265936 is an abundant number, since it is smaller than the sum of its proper divisors (166057653641).

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

138351265936 is an equidigital number, since it uses as much as digits as its factorization.

138351265936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 349 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 52.

The spelling of 138351265936 in words is "one hundred thirty-eight billion, three hundred fifty-one million, two hundred sixty-five thousand, nine hundred thirty-six".