133165415260500 has 384 divisors, whose sum is σ = 468014630952960. Its totient is φ = 28763645644800.

The previous prime is 133165415260487. The next prime is 133165415260513. The reversal of 133165415260500 is 5062514561331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133165415260487) and next prime (133165415260513).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16722756 + ... + 23366244.

It is an arithmetic number, because the mean of its divisors is an integer number (1218788101440).

Almost surely, 2^{133165415260500} is an apocalyptic number.

133165415260500 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 133165415260500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234007315476480).

133165415260500 is an abundant number, since it is smaller than the sum of its proper divisors (334849215692460).

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

133165415260500 is a wasteful number, since it uses less digits than its factorization.

133165415260500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6643624 (or 6643612 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 133165415260500 in words is "one hundred thirty-three trillion, one hundred sixty-five billion, four hundred fifteen million, two hundred sixty thousand, five hundred".