133538595840 has 1760 divisors, whose sum is σ = 575236214784. Its totient is φ = 29302456320.

The previous prime is 133538595811. The next prime is 133538595851. The reversal of 133538595840 is 48595835331.

133538595840 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 3 + 8 + 59 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2841246697 + ... + 2841246743.

Almost surely, 2^133538595840 is an apocalyptic number.

133538595840 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 133538595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287618107392).

133538595840 is an abundant number, since it is smaller than the sum of its proper divisors (441697618944).

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

133538595840 is a wasteful number, since it uses less digits than its factorization.

133538595840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 133538595840 in words is "one hundred thirty-three billion, five hundred thirty-eight million, five hundred ninety-five thousand, eight hundred forty".