135666236049120 has 432 divisors, whose sum is σ = 538594028835408. Its totient is φ = 31006688993280.

The previous prime is 135666236049041. The next prime is 135666236049131. The reversal of 135666236049120 is 21940632666531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 861529432 + ... + 861686888.

It is an arithmetic number, because the mean of its divisors is an integer number (1246745437119).

Almost surely, 2^{135666236049120} is an apocalyptic number.

135666236049120 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 135666236049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269297014417704).

135666236049120 is an abundant number, since it is smaller than the sum of its proper divisors (402927792786288).

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

135666236049120 is a wasteful number, since it uses less digits than its factorization.

135666236049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169703 (or 169685 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 135666236049120 in words is "one hundred thirty-five trillion, six hundred sixty-six billion, two hundred thirty-six million, forty-nine thousand, one hundred twenty".