132011229954240 has 1680 divisors, whose sum is σ = 597922434514944. Its totient is φ = 27396104601600.

The previous prime is 132011229954209. The next prime is 132011229954313. The reversal of 132011229954240 is 42459922110231.

132011229954240 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 1 + 12 + 2 + 99 + 542 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 1007107905 + ... + 1007238975.

Almost surely, 2^{132011229954240} is an apocalyptic number.

132011229954240 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 132011229954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298961217257472).

132011229954240 is an abundant number, since it is smaller than the sum of its proper divisors (465911204560704).

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

132011229954240 is a wasteful number, since it uses less digits than its factorization.

132011229954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131188 (or 131162 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 132011229954240 in words is "one hundred thirty-two trillion, eleven billion, two hundred twenty-nine million, nine hundred fifty-four thousand, two hundred forty".