133746480 has 360 divisors, whose sum is σ = 555714432. Its totient is φ = 28643328.

The previous prime is 133746479. The next prime is 133746499. The reversal of 133746480 is 84647331.

133746480 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 4 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 599649 + ... + 599871.

Almost surely, 2^133746480 is an apocalyptic number.

133746480 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 133746480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277857216).

133746480 is an abundant number, since it is smaller than the sum of its proper divisors (421967952).

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

133746480 is a wasteful number, since it uses less digits than its factorization.

133746480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 133746480 is about 11564.8813223483. The cubic root of 133746480 is about 511.4000745052.

The spelling of 133746480 in words is "one hundred thirty-three million, seven hundred forty-six thousand, four hundred eighty".