133934141952 has 640 divisors, whose sum is σ = 456470784000. Its totient is φ = 38459473920.

The previous prime is 133934141951. The next prime is 133934141953. The reversal of 133934141952 is 259141439331.

133934141952 is a `hidden beast` number, since 13 + 39 + 3 + 414 + 195 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133934141951) and next prime (133934141953).

It is a junction number, because it is equal to n+sod(n) for n = 133934141898 and 133934141907.

It is not an unprimeable number, because it can be changed into a prime (133934141951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161560674 + ... + 161561502.

It is an arithmetic number, because the mean of its divisors is an integer number (713235600).

Almost surely, 2^133934141952 is an apocalyptic number.

133934141952 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 133934141952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228235392000).

133934141952 is an abundant number, since it is smaller than the sum of its proper divisors (322536642048).

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

133934141952 is a wasteful number, since it uses less digits than its factorization.

133934141952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 907 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The spelling of 133934141952 in words is "one hundred thirty-three billion, nine hundred thirty-four million, one hundred forty-one thousand, nine hundred fifty-two".