135760375296 has 840 divisors, whose sum is σ = 510381255384. Its totient is φ = 35742228480.

The previous prime is 135760375273. The next prime is 135760375297. The reversal of 135760375296 is 692573067531.

135760375296 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 603 + 7 + 5 + 29 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135760375297) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 237758691 + ... + 237759261.

Almost surely, 2^135760375296 is an apocalyptic number.

135760375296 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 135760375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255190627692).

135760375296 is an abundant number, since it is smaller than the sum of its proper divisors (374620880088).

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

135760375296 is an frugal number, since it uses more digits than its factorization.

135760375296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 54.

The spelling of 135760375296 in words is "one hundred thirty-five billion, seven hundred sixty million, three hundred seventy-five thousand, two hundred ninety-six".