132701101107256 has 96 divisors (see below), whose sum is σ = 274159875860640. Its totient is φ = 60171099296000.

The previous prime is 132701101107209. The next prime is 132701101107257. The reversal of 132701101107256 is 652701101107231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132701101107257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1680976746 + ... + 1681055686.

It is an arithmetic number, because the mean of its divisors is an integer number (2855832040215).

Almost surely, 2^{132701101107256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132701101107256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137079937930320).

132701101107256 is an abundant number, since it is smaller than the sum of its proper divisors (141458774753384).

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

132701101107256 is a wasteful number, since it uses less digits than its factorization.

132701101107256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83197 (or 83182 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 132701101107256 in words is "one hundred thirty-two trillion, seven hundred one billion, one hundred one million, one hundred seven thousand, two hundred fifty-six".