133377225696 has 1152 divisors, whose sum is σ = 499293849600. Its totient is φ = 34420930560.

The previous prime is 133377225689. The next prime is 133377225701. The reversal of 133377225696 is 696522773331.

133377225696 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 7 + 72 + 2 + 569 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1246516075 + ... + 1246516181.

It is an arithmetic number, because the mean of its divisors is an integer number (433414800).

Almost surely, 2^133377225696 is an apocalyptic number.

133377225696 is a gapful number since it is divisible by the number (16) 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 133377225696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249646924800).

133377225696 is an abundant number, since it is smaller than the sum of its proper divisors (365916623904).

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

133377225696 is a wasteful number, since it uses less digits than its factorization.

133377225696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The spelling of 133377225696 in words is "one hundred thirty-three billion, three hundred seventy-seven million, two hundred twenty-five thousand, six hundred ninety-six".