133255031040 has 360 divisors, whose sum is σ = 478879116408. Its totient is φ = 35380592640.

The previous prime is 133255031027. The next prime is 133255031083. The reversal of 133255031040 is 40130552331.

133255031040 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 550 + 3 + 104 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 71122489344 + 62132541696 = 266688^2 + 249264^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a junction number, because it is equal to n+sod(n) for n = 133255030995 and 133255031013.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24984214 + ... + 24989546.

Almost surely, 2^133255031040 is an apocalyptic number.

133255031040 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 133255031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239439558204).

133255031040 is an abundant number, since it is smaller than the sum of its proper divisors (345624085368).

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

133255031040 is an equidigital number, since it uses as much as digits as its factorization.

133255031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5607 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 133255031040 its reverse (40130552331), we get a palindrome (173385583371).

The spelling of 133255031040 in words is "one hundred thirty-three billion, two hundred fifty-five million, thirty-one thousand, forty".