135262616022000 has 480 divisors, whose sum is σ = 477273511915200. Its totient is φ = 35700268800000.

The previous prime is 135262616021999. The next prime is 135262616022169. The reversal of 135262616022000 is 220616262531.

135262616022000 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 6 + 26 + 1 + 602 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×135262616022000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5855766451 + ... + 5855789549.

It is an arithmetic number, because the mean of its divisors is an integer number (994319816490).

Almost surely, 2^{135262616022000} is an apocalyptic number.

135262616022000 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 135262616022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238636755957600).

135262616022000 is an abundant number, since it is smaller than the sum of its proper divisors (342010895893200).

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

135262616022000 is a wasteful number, since it uses less digits than its factorization.

135262616022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26450 (or 26431 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 135262616022000 in words is "one hundred thirty-five trillion, two hundred sixty-two billion, six hundred sixteen million, twenty-two thousand".