133992005907200 has 648 divisors, whose sum is σ = 411976780548480. Its totient is φ = 42925046169600.

The previous prime is 133992005907197. The next prime is 133992005907211. The reversal of 133992005907200 is 2709500299331.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 281688764 + ... + 282164036.

Almost surely, 2^{133992005907200} is an apocalyptic number.

133992005907200 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 133992005907200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205988390274240).

133992005907200 is an abundant number, since it is smaller than the sum of its proper divisors (277984774641280).

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

133992005907200 is a wasteful number, since it uses less digits than its factorization.

133992005907200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475373 (or 475347 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 50.

The spelling of 133992005907200 in words is "one hundred thirty-three trillion, nine hundred ninety-two billion, five million, nine hundred seven thousand, two hundred".