132935400 has 432 divisors, whose sum is σ = 530992800. Its totient is φ = 29652480.

The previous prime is 132935399. The next prime is 132935401. The reversal of 132935400 is 4539231.

132935400 is a `hidden beast` number, since 1 + 32 + 93 + 540 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132935399) and next prime (132935401).

It is not an unprimeable number, because it can be changed into a prime (132935401) by changing a digit.

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, 5779789 + ... + 5779811.

It is an arithmetic number, because the mean of its divisors is an integer number (1229150).

Almost surely, 2^132935400 is an apocalyptic number.

132935400 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 132935400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265496400).

132935400 is an abundant number, since it is smaller than the sum of its proper divisors (398057400).

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

132935400 is a wasteful number, since it uses less digits than its factorization.

132935400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 132935400 is about 11529.7614892937. The cubic root of 132935400 is about 510.3642150368.

The spelling of 132935400 in words is "one hundred thirty-two million, nine hundred thirty-five thousand, four hundred".