133700919609096 has 384 divisors, whose sum is σ = 446113296921600. Its totient is φ = 36955548241920.

The previous prime is 133700919609073. The next prime is 133700919609121. The reversal of 133700919609096 is 690906919007331.

133700919609096 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 0 + 0 + 9 + 19 + 609 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 996384760 + ... + 996518936.

It is an arithmetic number, because the mean of its divisors is an integer number (1161753377400).

Almost surely, 2^{133700919609096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133700919609096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223056648460800).

133700919609096 is an abundant number, since it is smaller than the sum of its proper divisors (312412377312504).

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

133700919609096 is a wasteful number, since it uses less digits than its factorization.

133700919609096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137274 (or 137257 counting only the distinct ones).

The product of its (nonzero) digits is 14880348, while the sum is 63.

The spelling of 133700919609096 in words is "one hundred thirty-three trillion, seven hundred billion, nine hundred nineteen million, six hundred nine thousand, ninety-six".