135532631493504 has 1024 divisors, whose sum is σ = 497822146560000. Its totient is φ = 36158092443648.

The previous prime is 135532631493461. The next prime is 135532631493587. The reversal of 135532631493504 is 405394136235531.

135532631493504 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 32 + 6 + 3 + 14 + 93 + 504 = 666.

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

It is a congruent number.

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, 2559269394 + ... + 2559322350.

It is an arithmetic number, because the mean of its divisors is an integer number (486154440000).

Almost surely, 2^{135532631493504} is an apocalyptic number.

135532631493504 is a gapful number since it is divisible by the number (14) 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 135532631493504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248911073280000).

135532631493504 is an abundant number, since it is smaller than the sum of its proper divisors (362289515066496).

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

135532631493504 is a wasteful number, since it uses less digits than its factorization.

135532631493504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53145 (or 53113 counting only the distinct ones).

The product of its (nonzero) digits is 17496000, while the sum is 54.

The spelling of 135532631493504 in words is "one hundred thirty-five trillion, five hundred thirty-two billion, six hundred thirty-one million, four hundred ninety-three thousand, five hundred four".