133511540 has 48 divisors (see below), whose sum is σ = 304918992. Its totient is φ = 48900096.

The previous prime is 133511519. The next prime is 133511561. The reversal of 133511540 is 45115331.

It is an interprime number because it is at equal distance from previous prime (133511519) and next prime (133511561).

It can be written as a sum of positive squares in 8 ways, for example, as 52475536 + 81036004 = 7244^2 + 9002^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7274 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (6352479).

Almost surely, 2^133511540 is an apocalyptic number.

133511540 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 133511540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152459496).

133511540 is an abundant number, since it is smaller than the sum of its proper divisors (171407452).

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

133511540 is a wasteful number, since it uses less digits than its factorization.

133511540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10676 (or 10674 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 133511540 is about 11554.7193821399. The cubic root of 133511540 is about 511.1004560196.

Adding to 133511540 its reverse (45115331), we get a palindrome (178626871).

The spelling of 133511540 in words is "one hundred thirty-three million, five hundred eleven thousand, five hundred forty".