133707123072 has 192 divisors, whose sum is σ = 388401577200. Its totient is φ = 44148830208.

The previous prime is 133707123059. The next prime is 133707123083. The reversal of 133707123072 is 270321707331.

133707123072 is a `hidden beast` number, since 1 + 337 + 0 + 7 + 12 + 307 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60417838 + ... + 60420050.

Almost surely, 2^133707123072 is an apocalyptic number.

133707123072 is a gapful number since it is divisible by the number (12) 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 133707123072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194200788600).

133707123072 is an abundant number, since it is smaller than the sum of its proper divisors (254694454128).

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

133707123072 is a wasteful number, since it uses less digits than its factorization.

133707123072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2690 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

The spelling of 133707123072 in words is "one hundred thirty-three billion, seven hundred seven million, one hundred twenty-three thousand, seventy-two".