132991200 has 288 divisors, whose sum is σ = 494968320. Its totient is φ = 34444800.

The previous prime is 132991193. The next prime is 132991213. The reversal of 132991200 is 2199231.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1015135 + ... + 1015265.

It is an arithmetic number, because the mean of its divisors is an integer number (1718640).

Almost surely, 2^132991200 is an apocalyptic number.

132991200 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 132991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

132991200 is an abundant number, since it is smaller than the sum of its proper divisors (361977120).

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

132991200 is a wasteful number, since it uses less digits than its factorization.

132991200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 132991200 is about 11532.1810599730. The cubic root of 132991200 is about 510.4356139757.

It can be divided in two parts, 1329 and 91200, that added together give a palindrome (92529).

The spelling of 132991200 in words is "one hundred thirty-two million, nine hundred ninety-one thousand, two hundred".