132958840 has 64 divisors (see below), whose sum is σ = 344678400. Its totient is φ = 45214848.

The previous prime is 132958811. The next prime is 132958841. The reversal of 132958840 is 48859231.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 132958793 and 132958802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132958841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33691 + ... + 37429.

It is an arithmetic number, because the mean of its divisors is an integer number (5385600).

Almost surely, 2^132958840 is an apocalyptic number.

132958840 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 132958840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172339200).

132958840 is an abundant number, since it is smaller than the sum of its proper divisors (211719560).

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

132958840 is a wasteful number, since it uses less digits than its factorization.

132958840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 132958840 is about 11530.7779442672. Note that the first 3 decimals coincide. The cubic root of 132958840 is about 510.3942101426.

The spelling of 132958840 in words is "one hundred thirty-two million, nine hundred fifty-eight thousand, eight hundred forty".