133037520 has 320 divisors, whose sum is σ = 538251264. Its totient is φ = 26357760.

The previous prime is 133037477. The next prime is 133037557. The reversal of 133037520 is 25730331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 424884 + ... + 425196.

Almost surely, 2^133037520 is an apocalyptic number.

133037520 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 133037520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269125632).

133037520 is an abundant number, since it is smaller than the sum of its proper divisors (405213744).

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

133037520 is a wasteful number, since it uses less digits than its factorization.

133037520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 24.

The square root of 133037520 is about 11534.1891782648. The cubic root of 133037520 is about 510.4948676036.

Adding to 133037520 its reverse (25730331), we get a palindrome (158767851).

The spelling of 133037520 in words is "one hundred thirty-three million, thirty-seven thousand, five hundred twenty".