133247600640 has 1152 divisors, whose sum is σ = 596048544000. Its totient is φ = 27639152640.

The previous prime is 133247600579. The next prime is 133247600671. The reversal of 133247600640 is 46006742331.

It is a happy number.

133247600640 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 4 + 7 + 6 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 133247600595 and 133247600604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 234178276 + ... + 234178844.

It is an arithmetic number, because the mean of its divisors is an integer number (517403250).

Almost surely, 2^133247600640 is an apocalyptic number.

133247600640 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 133247600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298024272000).

133247600640 is an abundant number, since it is smaller than the sum of its proper divisors (462800943360).

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

133247600640 is a wasteful number, since it uses less digits than its factorization.

133247600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 133247600640 in words is "one hundred thirty-three billion, two hundred forty-seven million, six hundred thousand, six hundred forty".