132077223936 has 384 divisors, whose sum is σ = 440181293760. Its totient is φ = 37380685824.

The previous prime is 132077223893. The next prime is 132077224021. The reversal of 132077223936 is 639322770231.

132077223936 is a `hidden beast` number, since 1 + 320 + 77 + 223 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×132077223936³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132077223891 and 132077223900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282820375 + ... + 282820841.

Almost surely, 2^132077223936 is an apocalyptic number.

132077223936 is a gapful number since it is divisible by the number (16) 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 132077223936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220090646880).

132077223936 is an abundant number, since it is smaller than the sum of its proper divisors (308104069824).

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

132077223936 is an equidigital number, since it uses as much as digits as its factorization.

132077223936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 132077223936 in words is "one hundred thirty-two billion, seventy-seven million, two hundred twenty-three thousand, nine hundred thirty-six".