132638425920 has 1344 divisors, whose sum is σ = 618819102720. Its totient is φ = 25181798400.

The previous prime is 132638425903. The next prime is 132638425939. The reversal of 132638425920 is 29524836231.

132638425920 is a `hidden beast` number, since 1 + 3 + 2 + 638 + 4 + 2 + 5 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 400720155 + ... + 400720485.

It is an arithmetic number, because the mean of its divisors is an integer number (460430880).

Almost surely, 2^132638425920 is an apocalyptic number.

132638425920 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 132638425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309409551360).

132638425920 is an abundant number, since it is smaller than the sum of its proper divisors (486180676800).

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

132638425920 is a wasteful number, since it uses less digits than its factorization.

132638425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 132638425920 in words is "one hundred thirty-two billion, six hundred thirty-eight million, four hundred twenty-five thousand, nine hundred twenty".