132817277040 has 160 divisors (see below), whose sum is σ = 471865512960. Its totient is φ = 30273533952.

The previous prime is 132817277023. The next prime is 132817277053. The reversal of 132817277040 is 40772718231.

It is a super-2 number, since 2×132817277040² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132817276983 and 132817277001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493012 + ... + 713228.

It is an arithmetic number, because the mean of its divisors is an integer number (2949159456).

Almost surely, 2^132817277040 is an apocalyptic number.

132817277040 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 132817277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235932756480).

132817277040 is an abundant number, since it is smaller than the sum of its proper divisors (339048235920).

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

132817277040 is a wasteful number, since it uses less digits than its factorization.

132817277040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220599 (or 220593 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 42.

The spelling of 132817277040 in words is "one hundred thirty-two billion, eight hundred seventeen million, two hundred seventy-seven thousand, forty".