133532485632 has 1152 divisors, whose sum is σ = 527032396800. Its totient is φ = 32997113856.

The previous prime is 133532485627. The next prime is 133532485657. The reversal of 133532485632 is 236584235331.

133532485632 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 2 + 4 + 8 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

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, 598800273 + ... + 598800495.

It is an arithmetic number, because the mean of its divisors is an integer number (457493400).

Almost surely, 2^133532485632 is an apocalyptic number.

133532485632 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 133532485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263516198400).

133532485632 is an abundant number, since it is smaller than the sum of its proper divisors (393499911168).

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

133532485632 is a wasteful number, since it uses less digits than its factorization.

133532485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 265 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The spelling of 133532485632 in words is "one hundred thirty-three billion, five hundred thirty-two million, four hundred eighty-five thousand, six hundred thirty-two".