132763050 has 216 divisors, whose sum is σ = 432222336. Its totient is φ = 30209760.

The previous prime is 132763021. The next prime is 132763069. The reversal of 132763050 is 50367231.

It is a happy number.

132763050 is a `hidden beast` number, since 1 + 3 + 27 + 630 + 5 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 595239 + ... + 595461.

Almost surely, 2^132763050 is an apocalyptic number.

132763050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132763050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216111168).

132763050 is an abundant number, since it is smaller than the sum of its proper divisors (299459286).

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

132763050 is a wasteful number, since it uses less digits than its factorization.

132763050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 132763050 is about 11522.2849296483. The cubic root of 132763050 is about 510.1435582024.

The spelling of 132763050 in words is "one hundred thirty-two million, seven hundred sixty-three thousand, fifty".