132034100415000 has 320 divisors, whose sum is σ = 471443212880640. Its totient is φ = 30176422080000.

The previous prime is 132034100414987. The next prime is 132034100415037. The reversal of 132034100415000 is 514001430231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 1261102654 + ... + 1261207346.

It is an arithmetic number, because the mean of its divisors is an integer number (1473260040252).

Almost surely, 2^{132034100415000} is an apocalyptic number.

132034100415000 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 132034100415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235721606440320).

132034100415000 is an abundant number, since it is smaller than the sum of its proper divisors (339409112465640).

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

132034100415000 is a wasteful number, since it uses less digits than its factorization.

132034100415000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116740 (or 116721 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 132034100415000 its reverse (514001430231), we get a palindrome (132548101845231).

The spelling of 132034100415000 in words is "one hundred thirty-two trillion, thirty-four billion, one hundred million, four hundred fifteen thousand".