133151775120 has 960 divisors, whose sum is σ = 586951432704. Its totient is φ = 26250117120.

The previous prime is 133151775101. The next prime is 133151775131. The reversal of 133151775120 is 21577151331.

133151775120 is a `hidden beast` number, since 13 + 3 + 1 + 517 + 7 + 5 + 120 = 666.

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, 192693975 + ... + 192694665.

Almost surely, 2^133151775120 is an apocalyptic number.

133151775120 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 133151775120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293475716352).

133151775120 is an abundant number, since it is smaller than the sum of its proper divisors (453799657584).

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

133151775120 is a wasteful number, since it uses less digits than its factorization.

133151775120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 133151775120 in words is "one hundred thirty-three billion, one hundred fifty-one million, seven hundred seventy-five thousand, one hundred twenty".