132014314245000 has 320 divisors, whose sum is σ = 450205763040000. Its totient is φ = 31982060320000.

The previous prime is 132014314244987. The next prime is 132014314245031. The reversal of 132014314245000 is 542413410231.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 247068127 + ... + 247601873.

It is an arithmetic number, because the mean of its divisors is an integer number (1406893009500).

Almost surely, 2^{132014314245000} is an apocalyptic number.

132014314245000 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 132014314245000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225102881520000).

132014314245000 is an abundant number, since it is smaller than the sum of its proper divisors (318191448795000).

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

132014314245000 is a wasteful number, since it uses less digits than its factorization.

132014314245000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535286 (or 535267 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 132014314245000 its reverse (542413410231), we get a palindrome (132556727655231).

The spelling of 132014314245000 in words is "one hundred thirty-two trillion, fourteen billion, three hundred fourteen million, two hundred forty-five thousand".