138692453195520 has 3456 divisors, whose sum is σ = 601778994001920. Its totient is φ = 30132161740800.

The previous prime is 138692453195501. The next prime is 138692453195581. The reversal of 138692453195520 is 25591354296831.

138692453195520 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 9 + 2 + 4 + 531 + 95 + 5 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 918493067445 + ... + 918493067595.

It is an arithmetic number, because the mean of its divisors is an integer number (174125866320).

Almost surely, 2^{138692453195520} is an apocalyptic number.

138692453195520 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 138692453195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300889497000960).

138692453195520 is an abundant number, since it is smaller than the sum of its proper divisors (463086540806400).

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

138692453195520 is a wasteful number, since it uses less digits than its factorization.

138692453195520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 63.

The spelling of 138692453195520 in words is "one hundred thirty-eight trillion, six hundred ninety-two billion, four hundred fifty-three million, one hundred ninety-five thousand, five hundred twenty".