135628286976 has 1320 divisors, whose sum is σ = 540781962336. Its totient is φ = 33443020800.

The previous prime is 135628286971. The next prime is 135628287013. The reversal of 135628286976 is 679682826531.

It is a happy number.

135628286976 is a `hidden beast` number, since 1 + 3 + 562 + 8 + 2 + 8 + 69 + 7 + 6 = 666.

135628286976 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×135628286976² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135628286971) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 898200501 + ... + 898200651.

Almost surely, 2^135628286976 is an apocalyptic number.

135628286976 is a gapful number since it is divisible by the number (16) 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 135628286976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270390981168).

135628286976 is an abundant number, since it is smaller than the sum of its proper divisors (405153675360).

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

135628286976 is a wasteful number, since it uses less digits than its factorization.

135628286976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 193 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 135628286976 in words is "one hundred thirty-five billion, six hundred twenty-eight million, two hundred eighty-six thousand, nine hundred seventy-six".