138351624203520 has 4608 divisors, whose sum is σ = 639665123328000. Its totient is φ = 27546347372544.

The previous prime is 138351624203479. The next prime is 138351624203531. The reversal of 138351624203520 is 25302426153831.

138351624203520 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 51 + 6 + 242 + 0 + 352 + 0 = 666.

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 511 ways as a sum of consecutive naturals, for example, 695234292381 + ... + 695234292579.

It is an arithmetic number, because the mean of its divisors is an integer number (138816216000).

Almost surely, 2^{138351624203520} is an apocalyptic number.

138351624203520 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 138351624203520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319832561664000).

138351624203520 is an abundant number, since it is smaller than the sum of its proper divisors (501313499124480).

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

138351624203520 is a wasteful number, since it uses less digits than its factorization.

138351624203520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 138351624203520 in words is "one hundred thirty-eight trillion, three hundred fifty-one billion, six hundred twenty-four million, two hundred three thousand, five hundred twenty".