138475457003520 has 1920 divisors, whose sum is σ = 625534843207680. Its totient is φ = 28273048289280.

The previous prime is 138475457003509. The next prime is 138475457003537. The reversal of 138475457003520 is 25300754574831.

138475457003520 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 7 + 5 + 45 + 70 + 0 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6239589544 + ... + 6239611736.

It is an arithmetic number, because the mean of its divisors is an integer number (325799397504).

Almost surely, 2^{138475457003520} is an apocalyptic number.

138475457003520 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 138475457003520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312767421603840).

138475457003520 is an abundant number, since it is smaller than the sum of its proper divisors (487059386204160).

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

138475457003520 is a wasteful number, since it uses less digits than its factorization.

138475457003520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22286 (or 22254 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 138475457003520 in words is "one hundred thirty-eight trillion, four hundred seventy-five billion, four hundred fifty-seven million, three thousand, five hundred twenty".