138553355520 has 288 divisors, whose sum is σ = 492185715840. Its totient is φ = 36908974080.

The previous prime is 138553355519. The next prime is 138553355533. The reversal of 138553355520 is 25553355831.

138553355520 is a `hidden beast` number, since 13 + 8 + 5 + 53 + 35 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 31 ways as a sum of consecutive naturals, for example, 51182007 + ... + 51184713.

It is an arithmetic number, because the mean of its divisors is an integer number (1708978180).

Almost surely, 2^138553355520 is an apocalyptic number.

138553355520 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 138553355520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246092857920).

138553355520 is an abundant number, since it is smaller than the sum of its proper divisors (353632360320).

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

138553355520 is a wasteful number, since it uses less digits than its factorization.

138553355520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4198 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 138553355520 in words is "one hundred thirty-eight billion, five hundred fifty-three million, three hundred fifty-five thousand, five hundred twenty".