138420649000 has 64 divisors (see below), whose sum is σ = 327243767760. Its totient is φ = 54797414400.

The previous prime is 138420648959. The next prime is 138420649007. The reversal of 138420649000 is 946024831.

It can be written as a sum of positive squares in 8 ways, for example, as 3788894916 + 134631754084 = 61554^2 + 366922^2 .

It is not an unprimeable number, because it can be changed into a prime (138420649007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 616509 + ... + 810508.

Almost surely, 2^138420649000 is an apocalyptic number.

138420649000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138420649000 is an abundant number, since it is smaller than the sum of its proper divisors (188823118760).

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

138420649000 is a wasteful number, since it uses less digits than its factorization.

138420649000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1427135 (or 1427121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 138420649000 in words is "one hundred thirty-eight billion, four hundred twenty million, six hundred forty-nine thousand".