132722737224 has 256 divisors, whose sum is σ = 420698880000. Its totient is φ = 33891747840.

The previous prime is 132722737223. The next prime is 132722737241. The reversal of 132722737224 is 422737227231.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132722737223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47080087 + ... + 47082905.

It is an arithmetic number, because the mean of its divisors is an integer number (1643355000).

Almost surely, 2^132722737224 is an apocalyptic number.

132722737224 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 132722737224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210349440000).

132722737224 is an abundant number, since it is smaller than the sum of its proper divisors (287976142776).

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

132722737224 is a wasteful number, since it uses less digits than its factorization.

132722737224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3264 counting only the distinct ones).

The product of its digits is 395136, while the sum is 42.

The spelling of 132722737224 in words is "one hundred thirty-two billion, seven hundred twenty-two million, seven hundred thirty-seven thousand, two hundred twenty-four".