133957982237040 has 800 divisors, whose sum is σ = 514749196817856. Its totient is φ = 32077026017280.

The previous prime is 133957982237017. The next prime is 133957982237077. The reversal of 133957982237040 is 40732289759331.

133957982237040 is a `hidden beast` number, since 1 + 3 + 3 + 9 + 579 + 8 + 22 + 37 + 0 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1198426594 + ... + 1198538366.

Almost surely, 2^{133957982237040} is an apocalyptic number.

133957982237040 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 133957982237040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257374598408928).

133957982237040 is an abundant number, since it is smaller than the sum of its proper divisors (380791214580816).

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

133957982237040 is a wasteful number, since it uses less digits than its factorization.

133957982237040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112199 (or 112184 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 133957982237040 in words is "one hundred thirty-three trillion, nine hundred fifty-seven billion, nine hundred eighty-two million, two hundred thirty-seven thousand, forty".