133536480 has 192 divisors, whose sum is σ = 524579328. Its totient is φ = 27740160.

The previous prime is 133536463. The next prime is 133536493. The reversal of 133536480 is 84635331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35154 + ... + 38766.

It is an arithmetic number, because the mean of its divisors is an integer number (2732184).

Almost surely, 2^133536480 is an apocalyptic number.

133536480 is a gapful number since it is divisible by the number (10) 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 133536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262289664).

133536480 is an abundant number, since it is smaller than the sum of its proper divisors (391042848).

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

133536480 is a wasteful number, since it uses less digits than its factorization.

133536480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 133536480 is about 11555.7985444538. The cubic root of 133536480 is about 511.1322786164.

The spelling of 133536480 in words is "one hundred thirty-three million, five hundred thirty-six thousand, four hundred eighty".