132714490000 has 75 divisors (see below), whose sum is σ = 321403276623. Its totient is φ = 53071224000.

The previous prime is 132714489893. The next prime is 132714490003. The reversal of 132714490000 is 94417231.

The square root of 132714490000 is 364300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 10404816016 + 122309673984 = 102004^2 + 349728^2 .

It is a super-2 number, since 2×132714490000² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132714490003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 36428179 + ... + 36431821.

Almost surely, 2^132714490000 is an apocalyptic number.

132714490000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132714490000 is the 364300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132714490000

132714490000 is an abundant number, since it is smaller than the sum of its proper divisors (188688786623).

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

132714490000 is an frugal number, since it uses more digits than its factorization.

132714490000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7314 (or 3650 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 132714490000 in words is "one hundred thirty-two billion, seven hundred fourteen million, four hundred ninety thousand".