132858000 has 360 divisors, whose sum is σ = 518409528. Its totient is φ = 31680000.

The previous prime is 132857951. The next prime is 132858031. The reversal of 132858000 is 858231.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 32216976 + 100641024 = 5676^2 + 10032^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2177970 + ... + 2178030.

Almost surely, 2^132858000 is an apocalyptic number.

132858000 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 132858000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259204764).

132858000 is an abundant number, since it is smaller than the sum of its proper divisors (385551528).

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

132858000 is a wasteful number, since it uses less digits than its factorization.

132858000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 132858000 is about 11526.4044697382. The cubic root of 132858000 is about 510.2651447132.

The spelling of 132858000 in words is "one hundred thirty-two million, eight hundred fifty-eight thousand".