138342954240 has 144 divisors (see below), whose sum is σ = 490925467200. Its totient is φ = 36891445248.

The previous prime is 138342954221. The next prime is 138342954257. The reversal of 138342954240 is 42459243831.

138342954240 is a `hidden beast` number, since 1 + 3 + 83 + 4 + 29 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1966930 + ... + 2036049.

Almost surely, 2^138342954240 is an apocalyptic number.

138342954240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138342954240 is an abundant number, since it is smaller than the sum of its proper divisors (352582512960).

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

138342954240 is an equidigital number, since it uses as much as digits as its factorization.

138342954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003009 (or 4002989 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 138342954240 in words is "one hundred thirty-eight billion, three hundred forty-two million, nine hundred fifty-four thousand, two hundred forty".