132507671226000 has 640 divisors, whose sum is σ = 495535712256000. Its totient is φ = 29836247500800.

The previous prime is 132507671225947. The next prime is 132507671226023. The reversal of 132507671226000 is 622176705231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1469828926 + ... + 1469919074.

It is an arithmetic number, because the mean of its divisors is an integer number (774274550400).

Almost surely, 2^{132507671226000} is an apocalyptic number.

132507671226000 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 132507671226000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247767856128000).

132507671226000 is an abundant number, since it is smaller than the sum of its proper divisors (363028041030000).

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

132507671226000 is a wasteful number, since it uses less digits than its factorization.

132507671226000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90704 (or 90688 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 132507671226000 in words is "one hundred thirty-two trillion, five hundred seven billion, six hundred seventy-one million, two hundred twenty-six thousand".