133414256640 has 608 divisors, whose sum is σ = 504926129664. Its totient is φ = 29444014080.

The previous prime is 133414256617. The next prime is 133414256641. The reversal of 133414256640 is 46652414331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133414256641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1018429375 + ... + 1018429505.

It is an arithmetic number, because the mean of its divisors is an integer number (830470608).

Almost surely, 2^133414256640 is an apocalyptic number.

133414256640 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 133414256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252463064832).

133414256640 is an abundant number, since it is smaller than the sum of its proper divisors (371511873024).

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

133414256640 is an frugal number, since it uses more digits than its factorization.

133414256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 133414256640 in words is "one hundred thirty-three billion, four hundred fourteen million, two hundred fifty-six thousand, six hundred forty".