133714697210016 has 192 divisors, whose sum is σ = 396086376591360. Its totient is φ = 39189494615040.

The previous prime is 133714697210011. The next prime is 133714697210051. The reversal of 133714697210016 is 610012796417331.

It is a happy number.

It is a super-3 number, since 3×133714697210016³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (133714697210011) 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, 2885350 + ... + 16605861.

It is an arithmetic number, because the mean of its divisors is an integer number (2062949878080).

Almost surely, 2^{133714697210016} is an apocalyptic number.

133714697210016 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 133714697210016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198043188295680).

133714697210016 is an abundant number, since it is smaller than the sum of its proper divisors (262371679381344).

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

133714697210016 is a wasteful number, since it uses less digits than its factorization.

133714697210016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19491499 (or 19491491 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 133714697210016 in words is "one hundred thirty-three trillion, seven hundred fourteen billion, six hundred ninety-seven million, two hundred ten thousand, sixteen".