133145262240 has 384 divisors, whose sum is σ = 442388459520. Its totient is φ = 33628581888.

The previous prime is 133145262197. The next prime is 133145262253. The reversal of 133145262240 is 42262541331.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89178934 + ... + 89180426.

It is an arithmetic number, because the mean of its divisors is an integer number (1152053280).

Almost surely, 2^133145262240 is an apocalyptic number.

133145262240 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 133145262240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221194229760).

133145262240 is an abundant number, since it is smaller than the sum of its proper divisors (309243197280).

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

133145262240 is a wasteful number, since it uses less digits than its factorization.

133145262240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 133145262240 in words is "one hundred thirty-three billion, one hundred forty-five million, two hundred sixty-two thousand, two hundred forty".