133339752000 has 1344 divisors, whose sum is σ = 600925538304. Its totient is φ = 27471052800.

The previous prime is 133339751959. The next prime is 133339752017. The reversal of 133339752000 is 257933331.

133339752000 is a `hidden beast` number, since 13 + 3 + 33 + 97 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 307943784 + ... + 307944216.

It is an arithmetic number, because the mean of its divisors is an integer number (447117216).

Almost surely, 2^133339752000 is an apocalyptic number.

133339752000 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 133339752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300462769152).

133339752000 is an abundant number, since it is smaller than the sum of its proper divisors (467585786304).

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

133339752000 is a wasteful number, since it uses less digits than its factorization.

133339752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The spelling of 133339752000 in words is "one hundred thirty-three billion, three hundred thirty-nine million, seven hundred fifty-two thousand".