132126714000 has 400 divisors, whose sum is σ = 478365030000. Its totient is φ = 35151667200.

The previous prime is 132126713959. The next prime is 132126714011. The reversal of 132126714000 is 417621231.

132126714000 is a `hidden beast` number, since 132 + 126 + 7 + 1 + 400 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 66960877824 + 65165836176 = 258768^2 + 255276^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 105785376 + ... + 105786624.

It is an arithmetic number, because the mean of its divisors is an integer number (1195912575).

Almost surely, 2^132126714000 is an apocalyptic number.

132126714000 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 132126714000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239182515000).

132126714000 is an abundant number, since it is smaller than the sum of its proper divisors (346238316000).

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

132126714000 is a wasteful number, since it uses less digits than its factorization.

132126714000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1937 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 132126714000 in words is "one hundred thirty-two billion, one hundred twenty-six million, seven hundred fourteen thousand".