133431657744 has 960 divisors, whose sum is σ = 477206028288. Its totient is φ = 31701196800.

The previous prime is 133431657707. The next prime is 133431657767. The reversal of 133431657744 is 447756134331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 133431657693 and 133431657702.

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, 1827830892 + ... + 1827830964.

Almost surely, 2^133431657744 is an apocalyptic number.

133431657744 is a gapful number since it is divisible by the number (14) 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 133431657744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238603014144).

133431657744 is an abundant number, since it is smaller than the sum of its proper divisors (343774370544).

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

133431657744 is a wasteful number, since it uses less digits than its factorization.

133431657744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 48.

The spelling of 133431657744 in words is "one hundred thirty-three billion, four hundred thirty-one million, six hundred fifty-seven thousand, seven hundred forty-four".