132981408 has 72 divisors (see below), whose sum is σ = 432196128. Its totient is φ = 37994112.

The previous prime is 132981391. The next prime is 132981421. The reversal of 132981408 is 804189231.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30966 + ... + 34997.

It is an arithmetic number, because the mean of its divisors is an integer number (6002724).

Almost surely, 2^132981408 is an apocalyptic number.

132981408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132981408 is an abundant number, since it is smaller than the sum of its proper divisors (299214720).

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

132981408 is a wasteful number, since it uses less digits than its factorization.

132981408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65986 (or 65975 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 132981408 is about 11531.7565010713. The cubic root of 132981408 is about 510.4230860586.

It can be divided in two parts, 13298 and 1408, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 132981408 in words is "one hundred thirty-two million, nine hundred eighty-one thousand, four hundred eight".