133302562740 has 144 divisors (see below), whose sum is σ = 428279276880. Its totient is φ = 33445171200.

The previous prime is 133302562721. The next prime is 133302562753. The reversal of 133302562740 is 47265203331.

133302562740 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 0 + 25 + 627 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 59642431524 + 73660131216 = 244218^2 + 271404^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 133302562695 and 133302562704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12935590 + ... + 12945890.

It is an arithmetic number, because the mean of its divisors is an integer number (2974161645).

Almost surely, 2^133302562740 is an apocalyptic number.

133302562740 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 133302562740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214139638440).

133302562740 is an abundant number, since it is smaller than the sum of its proper divisors (294976714140).

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

133302562740 is a wasteful number, since it uses less digits than its factorization.

133302562740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14562 (or 14557 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 133302562740 in words is "one hundred thirty-three billion, three hundred two million, five hundred sixty-two thousand, seven hundred forty".