133514131410 has 192 divisors, whose sum is σ = 398587198464. Its totient is φ = 31883544000.

The previous prime is 133514131403. The next prime is 133514131453. The reversal of 133514131410 is 14131415331.

133514131410 is a `hidden beast` number, since 1 + 3 + 3 + 514 + 1 + 3 + 141 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1753635 + ... + 1828185.

It is an arithmetic number, because the mean of its divisors is an integer number (2075974992).

Almost surely, 2^133514131410 is an apocalyptic number.

133514131410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133514131410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199293599232).

133514131410 is an abundant number, since it is smaller than the sum of its proper divisors (265073067054).

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

133514131410 is a wasteful number, since it uses less digits than its factorization.

133514131410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74651 (or 74639 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 133514131410 its reverse (14131415331), we get a palindrome (147645546741).

The spelling of 133514131410 in words is "one hundred thirty-three billion, five hundred fourteen million, one hundred thirty-one thousand, four hundred ten".