132777429120 has 640 divisors, whose sum is σ = 543932674560. Its totient is φ = 30236073984.

The previous prime is 132777429097. The next prime is 132777429143. The reversal of 132777429120 is 21924777231.

132777429120 is a `hidden beast` number, since 1 + 3 + 277 + 74 + 291 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (132777429097) and next prime (132777429143).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 133176462 + ... + 133177458.

It is an arithmetic number, because the mean of its divisors is an integer number (849894804).

Almost surely, 2^132777429120 is an apocalyptic number.

132777429120 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 132777429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271966337280).

132777429120 is an abundant number, since it is smaller than the sum of its proper divisors (411155245440).

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

132777429120 is an equidigital number, since it uses as much as digits as its factorization.

132777429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 132777429120 in words is "one hundred thirty-two billion, seven hundred seventy-seven million, four hundred twenty-nine thousand, one hundred twenty".