133426416100 has 108 divisors (see below), whose sum is σ = 300340439308. Its totient is φ = 51448320000.

The previous prime is 133426416091. The next prime is 133426416103. The reversal of 133426416100 is 1614624331.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 96940067904 + 36486348196 = 311352^2 + 191014^2 .

It is not an unprimeable number, because it can be changed into a prime (133426416103) 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, 101003440 + ... + 101004760.

Almost surely, 2^133426416100 is an apocalyptic number.

133426416100 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 133426416100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150170219654).

133426416100 is an abundant number, since it is smaller than the sum of its proper divisors (166914023208).

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

133426416100 is a wasteful number, since it uses less digits than its factorization.

133426416100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The spelling of 133426416100 in words is "one hundred thirty-three billion, four hundred twenty-six million, four hundred sixteen thousand, one hundred".