133374528 has 168 divisors, whose sum is σ = 460166720. Its totient is φ = 36080640.

The previous prime is 133374499. The next prime is 133374541. The reversal of 133374528 is 825473331.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a junction number, because it is equal to n+sod(n) for n = 133374492 and 133374501.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75738 + ... + 77478.

Almost surely, 2^133374528 is an apocalyptic number.

133374528 is a gapful number since it is divisible by the number (18) 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 133374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230083360).

133374528 is an abundant number, since it is smaller than the sum of its proper divisors (326792192).

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

133374528 is a wasteful number, since it uses less digits than its factorization.

133374528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1772 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 133374528 is about 11548.7890274262. The cubic root of 133374528 is about 510.9255626142.

The spelling of 133374528 in words is "one hundred thirty-three million, three hundred seventy-four thousand, five hundred twenty-eight".