132751008 has 192 divisors, whose sum is σ = 426746880. Its totient is φ = 39896064.

The previous prime is 132751007. The next prime is 132751057. The reversal of 132751008 is 800157231.

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

It is not an unprimeable number, because it can be changed into a prime (132751001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 595185 + ... + 595407.

It is an arithmetic number, because the mean of its divisors is an integer number (2222640).

Almost surely, 2^132751008 is an apocalyptic number.

132751008 is a gapful number since it is divisible by the number (18) 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 132751008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

132751008 is an abundant number, since it is smaller than the sum of its proper divisors (293995872).

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

132751008 is a wasteful number, since it uses less digits than its factorization.

132751008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 132751008 is about 11521.7623651940. The cubic root of 132751008 is about 510.1281338945.

The spelling of 132751008 in words is "one hundred thirty-two million, seven hundred fifty-one thousand, eight".