133514520 has 128 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 32624640.

The previous prime is 133514519. The next prime is 133514587. The reversal of 133514520 is 25415331.

It is a super-2 number, since 2×133514520² = 35652254101660800, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69736 + ... + 71624.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 2^133514520 is an apocalyptic number.

133514520 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 133514520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

133514520 is an abundant number, since it is smaller than the sum of its proper divisors (301941480).

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

133514520 is a wasteful number, since it uses less digits than its factorization.

133514520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 133514520 is about 11554.8483330592. The cubic root of 133514520 is about 511.1042586073.

Adding to 133514520 its reverse (25415331), we get a palindrome (158929851).

It can be divided in two parts, 13351 and 4520, that added together give a palindrome (17871).

The spelling of 133514520 in words is "one hundred thirty-three million, five hundred fourteen thousand, five hundred twenty".