132963840 has 240 divisors, whose sum is σ = 478764000. Its totient is φ = 34062336.

The previous prime is 132963839. The next prime is 132963917. The reversal of 132963840 is 48369231.

132963840 is a `hidden beast` number, since 13 + 2 + 9 + 638 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 132963795 and 132963804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668061 + ... + 668259.

It is an arithmetic number, because the mean of its divisors is an integer number (1994850).

Almost surely, 2^132963840 is an apocalyptic number.

132963840 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 132963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239382000).

132963840 is an abundant number, since it is smaller than the sum of its proper divisors (345800160).

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

132963840 is a wasteful number, since it uses less digits than its factorization.

132963840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 132963840 is about 11530.9947532726. The cubic root of 132963840 is about 510.4006079598.

The spelling of 132963840 in words is "one hundred thirty-two million, nine hundred sixty-three thousand, eight hundred forty".