133998380152 has 256 divisors, whose sum is σ = 339655680000. Its totient is φ = 48043376640.

The previous prime is 133998380081. The next prime is 133998380179. The reversal of 133998380152 is 251083899331.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 133998380152.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89391099 + ... + 89392597.

It is an arithmetic number, because the mean of its divisors is an integer number (1326780000).

Almost surely, 2^133998380152 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 133998380152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840000).

133998380152 is an abundant number, since it is smaller than the sum of its proper divisors (205657299848).

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

133998380152 is a wasteful number, since it uses less digits than its factorization.

133998380152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 52.

The spelling of 133998380152 in words is "one hundred thirty-three billion, nine hundred ninety-eight million, three hundred eighty thousand, one hundred fifty-two".