132857289000 has 288 divisors, whose sum is σ = 464040855720. Its totient is φ = 34283520000.

The previous prime is 132857288959. The next prime is 132857289001. The reversal of 132857289000 is 982758231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 56770686756 + 76086602244 = 238266^2 + 275838^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (132857289001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8641320 + ... + 8656680.

Almost surely, 2^132857289000 is an apocalyptic number.

132857289000 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 132857289000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232020427860).

132857289000 is an abundant number, since it is smaller than the sum of its proper divisors (331183566720).

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

132857289000 is a wasteful number, since it uses less digits than its factorization.

132857289000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15450 (or 15402 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 132857289000 in words is "one hundred thirty-two billion, eight hundred fifty-seven million, two hundred eighty-nine thousand".