133091468640 has 1152 divisors, whose sum is σ = 542090465280. Its totient is φ = 29429858304.

The previous prime is 133091468563. The next prime is 133091468651. The reversal of 133091468640 is 46864190331.

133091468640 is a `hidden beast` number, since 13 + 30 + 91 + 468 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1047964257 + ... + 1047964383.

It is an arithmetic number, because the mean of its divisors is an integer number (470564640).

Almost surely, 2^133091468640 is an apocalyptic number.

133091468640 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 133091468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271045232640).

133091468640 is an abundant number, since it is smaller than the sum of its proper divisors (408998996640).

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

133091468640 is a wasteful number, since it uses less digits than its factorization.

133091468640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 133091468640 in words is "one hundred thirty-three billion, ninety-one million, four hundred sixty-eight thousand, six hundred forty".