133400520 has 320 divisors, whose sum is σ = 517492800. Its totient is φ = 30481920.

The previous prime is 133400467. The next prime is 133400521. The reversal of 133400520 is 25004331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 133400493 and 133400502.

It is not an unprimeable number, because it can be changed into a prime (133400521) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 677062 + ... + 677258.

It is an arithmetic number, because the mean of its divisors is an integer number (1617165).

Almost surely, 2^133400520 is an apocalyptic number.

133400520 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 133400520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258746400).

133400520 is an abundant number, since it is smaller than the sum of its proper divisors (384092280).

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

133400520 is a wasteful number, since it uses less digits than its factorization.

133400520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 133400520 is about 11549.9142853962. The cubic root of 133400520 is about 510.9587501472.

Adding to 133400520 its reverse (25004331), we get a palindrome (158404851).

It can be divided in two parts, 1334005 and 20, that added together give a square (1334025 = 1155²).

The spelling of 133400520 in words is "one hundred thirty-three million, four hundred thousand, five hundred twenty".