133034424341400 has 576 divisors, whose sum is σ = 461772891964800. Its totient is φ = 34297323540480.

The previous prime is 133034424341383. The next prime is 133034424341443. The reversal of 133034424341400 is 4143424430331.

133034424341400 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 3 + 4 + 4 + 243 + 4 + 1 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39047378497 + ... + 39047381903.

It is an arithmetic number, because the mean of its divisors is an integer number (801689048550).

Almost surely, 2^{133034424341400} is an apocalyptic number.

133034424341400 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 133034424341400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230886445982400).

133034424341400 is an abundant number, since it is smaller than the sum of its proper divisors (328738467623400).

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

133034424341400 is a wasteful number, since it uses less digits than its factorization.

133034424341400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7028 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 133034424341400 its reverse (4143424430331), we get a palindrome (137177848771731).

The spelling of 133034424341400 in words is "one hundred thirty-three trillion, thirty-four billion, four hundred twenty-four million, three hundred forty-one thousand, four hundred".