133742880 has 192 divisors, whose sum is σ = 475009920. Its totient is φ = 35140608.

The previous prime is 133742849. The next prime is 133742899. The reversal of 133742880 is 88247331.

133742880 is a `hidden beast` number, since 1 + 3 + 374 + 288 + 0 = 666.

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

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, 358374 + ... + 358746.

It is an arithmetic number, because the mean of its divisors is an integer number (2474010).

Almost surely, 2^133742880 is an apocalyptic number.

133742880 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 133742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

133742880 is an abundant number, since it is smaller than the sum of its proper divisors (341267040).

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

133742880 is a wasteful number, since it uses less digits than its factorization.

133742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 133742880 is about 11564.7256776804. The cubic root of 133742880 is about 511.3954860809.

The spelling of 133742880 in words is "one hundred thirty-three million, seven hundred forty-two thousand, eight hundred eighty".