135797933376000 has 5120 divisors, whose sum is σ = 636781551943680. Its totient is φ = 28163801088000.

The previous prime is 135797933375999. The next prime is 135797933376041. The reversal of 135797933376000 is 673339797531.

135797933376000 is a `hidden beast` number, since 13 + 5 + 7 + 9 + 7 + 9 + 3 + 3 + 3 + 7 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 516341951869 + ... + 516341952131.

It is an arithmetic number, because the mean of its divisors is an integer number (124371396864).

Almost surely, 2^{135797933376000} is an apocalyptic number.

135797933376000 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 135797933376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318390775971840).

135797933376000 is an abundant number, since it is smaller than the sum of its proper divisors (500983618567680).

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

135797933376000 is an frugal number, since it uses more digits than its factorization.

135797933376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 67512690, while the sum is 63.

The spelling of 135797933376000 in words is "one hundred thirty-five trillion, seven hundred ninety-seven billion, nine hundred thirty-three million, three hundred seventy-six thousand".