135826673472 has 1176 divisors, whose sum is σ = 512712309600. Its totient is φ = 35460052992.

The previous prime is 135826673467. The next prime is 135826673497. The reversal of 135826673472 is 274376628531.

It is a happy number.

135826673472 is a `hidden beast` number, since 1 + 35 + 8 + 266 + 7 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2302146979 + ... + 2302147037.

Almost surely, 2^135826673472 is an apocalyptic number.

135826673472 is a gapful number since it is divisible by the number (12) 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 135826673472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256356154800).

135826673472 is an abundant number, since it is smaller than the sum of its proper divisors (376885636128).

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

135826673472 is an equidigital number, since it uses as much as digits as its factorization.

135826673472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 143 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 135826673472 in words is "one hundred thirty-five billion, eight hundred twenty-six million, six hundred seventy-three thousand, four hundred seventy-two".