133770336956928 has 360 divisors, whose sum is σ = 450396633587472. Its totient is φ = 38109929582592.

The previous prime is 133770336956827. The next prime is 133770336956947. The reversal of 133770336956928 is 829659633077331.

133770336956928 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 7 + 0 + 3 + 36 + 9 + 569 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77496151 + ... + 79203497.

Almost surely, 2^{133770336956928} is an apocalyptic number.

133770336956928 is a gapful number since it is divisible by the number (18) 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 133770336956928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225198316793736).

133770336956928 is an abundant number, since it is smaller than the sum of its proper divisors (316626296630544).

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

133770336956928 is a wasteful number, since it uses less digits than its factorization.

133770336956928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707732 (or 1707706 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 133770336956928 in words is "one hundred thirty-three trillion, seven hundred seventy billion, three hundred thirty-six million, nine hundred fifty-six thousand, nine hundred twenty-eight".