133400311103540 has 96 divisors (see below), whose sum is σ = 305936763332256. Its totient is φ = 48566656696320.

The previous prime is 133400311103539. The next prime is 133400311103599. The reversal of 133400311103540 is 45301113004331.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 60642072439204 + 72758238664336 = 7787302^2 + 8529844^2 .

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 31 ways as a sum of consecutive naturals, for example, 6092651 + ... + 17433330.

It is an arithmetic number, because the mean of its divisors is an integer number (3186841284711).

Almost surely, 2^{133400311103540} is an apocalyptic number.

133400311103540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133400311103540 is an abundant number, since it is smaller than the sum of its proper divisors (172536452228716).

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

133400311103540 is a wasteful number, since it uses less digits than its factorization.

133400311103540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23526309 (or 23526307 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 133400311103540 its reverse (45301113004331), we get a palindrome (178701424107871).

The spelling of 133400311103540 in words is "one hundred thirty-three trillion, four hundred billion, three hundred eleven million, one hundred three thousand, five hundred forty".