133545984 has 240 divisors, whose sum is σ = 440388480. Its totient is φ = 35389440.

The previous prime is 133545967. The next prime is 133545991. The reversal of 133545984 is 489545331.

Its product of digits (259200) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7028727 + ... + 7028745.

It is an arithmetic number, because the mean of its divisors is an integer number (1834952).

Almost surely, 2^133545984 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 133545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220194240).

133545984 is an abundant number, since it is smaller than the sum of its proper divisors (306842496).

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

133545984 is a wasteful number, since it uses less digits than its factorization.

133545984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 48 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 133545984 is about 11556.2097592593. The cubic root of 133545984 is about 511.1444043565.

The spelling of 133545984 in words is "one hundred thirty-three million, five hundred forty-five thousand, nine hundred eighty-four".