138953636244000 has 384 divisors, whose sum is σ = 532411835155200. Its totient is φ = 35104076006400.

The previous prime is 138953636243957. The next prime is 138953636244011. The reversal of 138953636244000 is 442636359831.

138953636244000 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 5 + 3 + 6 + 3 + 624 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×138953636244000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31806099 + ... + 35910098.

It is an arithmetic number, because the mean of its divisors is an integer number (1386489154050).

Almost surely, 2^{138953636244000} is an apocalyptic number.

138953636244000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138953636244000 is an abundant number, since it is smaller than the sum of its proper divisors (393458198911200).

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

138953636244000 is a wasteful number, since it uses less digits than its factorization.

138953636244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67716250 (or 67716226 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 138953636244000 in words is "one hundred thirty-eight trillion, nine hundred fifty-three billion, six hundred thirty-six million, two hundred forty-four thousand".