135628992000 has 1440 divisors, whose sum is σ = 565381982880. Its totient is φ = 32248627200.

The previous prime is 135628991989. The next prime is 135628992043. The reversal of 135628992000 is 299826531.

135628992000 is a `hidden beast` number, since 1 + 3 + 562 + 89 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×135628992000³ (a number of 34 digits) contains 333 as substring.

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 143 ways as a sum of consecutive naturals, for example, 7138367991 + ... + 7138368009.

It is an arithmetic number, because the mean of its divisors is an integer number (392626377).

Almost surely, 2^135628992000 is an apocalyptic number.

135628992000 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 135628992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282690991440).

135628992000 is an abundant number, since it is smaller than the sum of its proper divisors (429752990880).

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

135628992000 is an frugal number, since it uses more digits than its factorization.

135628992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 135628992000 in words is "one hundred thirty-five billion, six hundred twenty-eight million, nine hundred ninety-two thousand".