138009245955840 has 1152 divisors, whose sum is σ = 584917779640320. Its totient is φ = 30128058335232.

The previous prime is 138009245955839. The next prime is 138009245955853. The reversal of 138009245955840 is 48559542900831.

138009245955840 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 0 + 9 + 2 + 45 + 9 + 5 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3766918002 + ... + 3766954638.

It is an arithmetic number, because the mean of its divisors is an integer number (507741128160).

Almost surely, 2^{138009245955840} is an apocalyptic number.

138009245955840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138009245955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292458889820160).

138009245955840 is an abundant number, since it is smaller than the sum of its proper divisors (446908533684480).

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

138009245955840 is a wasteful number, since it uses less digits than its factorization.

138009245955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37374 (or 37354 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 138009245955840 in words is "one hundred thirty-eight trillion, nine billion, two hundred forty-five million, nine hundred fifty-five thousand, eight hundred forty".