133502664011400 has 144 divisors (see below), whose sum is σ = 471943628161200. Its totient is φ = 33726988794240.

The previous prime is 133502664011377. The next prime is 133502664011401. The reversal of 133502664011400 is 4110466205331.

133502664011400 is a `hidden beast` number, since 1 + 3 + 3 + 5 + 0 + 2 + 6 + 640 + 1 + 1 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×133502664011400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133502664011401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1951759134 + ... + 1951827533.

It is an arithmetic number, because the mean of its divisors is an integer number (3277386306675).

Almost surely, 2^{133502664011400} is an apocalyptic number.

133502664011400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133502664011400 is an abundant number, since it is smaller than the sum of its proper divisors (338440964149800).

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

133502664011400 is a wasteful number, since it uses less digits than its factorization.

133502664011400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3903586708 (or 3903586696 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 133502664011400 in words is "one hundred thirty-three trillion, five hundred two billion, six hundred sixty-four million, eleven thousand, four hundred".