133131752460 has 720 divisors, whose sum is σ = 512881474560. Its totient is φ = 27845233920.

The previous prime is 133131752437. The next prime is 133131752461. The reversal of 133131752460 is 64257131331.

133131752460 is a `hidden beast` number, since 1 + 331 + 317 + 5 + 2 + 4 + 6 + 0 = 666.

133131752460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (133131752461) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 254553759 + ... + 254554281.

Almost surely, 2^133131752460 is an apocalyptic number.

133131752460 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 133131752460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256440737280).

133131752460 is an abundant number, since it is smaller than the sum of its proper divisors (379749722100).

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

133131752460 is a wasteful number, since it uses less digits than its factorization.

133131752460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 133131752460 its reverse (64257131331), we get a palindrome (197388883791).

The spelling of 133131752460 in words is "one hundred thirty-three billion, one hundred thirty-one million, seven hundred fifty-two thousand, four hundred sixty".