135131610015000 has 320 divisors, whose sum is σ = 469226321388000. Its totient is φ = 36022075200000.

The previous prime is 135131610014983. The next prime is 135131610015047. The reversal of 135131610015000 is 510016131531.

It is a happy number.

135131610015000 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 31 + 610 + 0 + 15 + 0 + 0 + 0 = 666.

It is a super-3 number, since 3×135131610015000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 376335550 + ... + 376694450.

Almost surely, 2^{135131610015000} is an apocalyptic number.

135131610015000 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 135131610015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234613160694000).

135131610015000 is an abundant number, since it is smaller than the sum of its proper divisors (334094711373000).

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

135131610015000 is a wasteful number, since it uses less digits than its factorization.

135131610015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361725 (or 361700 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

Adding to 135131610015000 its reverse (510016131531), we get a palindrome (135641626146531).

The spelling of 135131610015000 in words is "one hundred thirty-five trillion, one hundred thirty-one billion, six hundred ten million, fifteen thousand".