138551507136000 has 1920 divisors, whose sum is σ = 604656819486720. Its totient is φ = 29818036224000.

The previous prime is 138551507135939. The next prime is 138551507136047. The reversal of 138551507136000 is 631705155831.

138551507136000 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 5 + 1 + 507 + 136 + 0 + 0 + 0 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4624689021 + ... + 4624718979.

It is an arithmetic number, because the mean of its divisors is an integer number (314925426816).

Almost surely, 2^{138551507136000} is an apocalyptic number.

138551507136000 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 138551507136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302328409743360).

138551507136000 is an abundant number, since it is smaller than the sum of its proper divisors (466105312350720).

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

138551507136000 is a wasteful number, since it uses less digits than its factorization.

138551507136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30073 (or 30044 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 138551507136000 in words is "one hundred thirty-eight trillion, five hundred fifty-one billion, five hundred seven million, one hundred thirty-six thousand".