133613298000 has 1440 divisors, whose sum is σ = 600418570752. Its totient is φ = 27433728000.

The previous prime is 133613297989. The next prime is 133613298001. The reversal of 133613298000 is 892316331.

133613298000 is a `hidden beast` number, since 1 + 3 + 361 + 3 + 298 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133613298001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 493037865 + ... + 493038135.

Almost surely, 2^133613298000 is an apocalyptic number.

133613298000 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 133613298000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300209285376).

133613298000 is an abundant number, since it is smaller than the sum of its proper divisors (466805272752).

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

133613298000 is a wasteful number, since it uses less digits than its factorization.

133613298000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 133613298000 in words is "one hundred thirty-three billion, six hundred thirteen million, two hundred ninety-eight thousand".