132779920 has 240 divisors, whose sum is σ = 405188352. Its totient is φ = 39536640.

The previous prime is 132779917. The next prime is 132779929. The reversal of 132779920 is 29977231.

132779920 = T₃₁₅ + T₃₁₆ + ... + T₉₃₈.

132779920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (132779929) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2176690 + ... + 2176750.

Almost surely, 2^132779920 is an apocalyptic number.

132779920 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 132779920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202594176).

132779920 is an abundant number, since it is smaller than the sum of its proper divisors (272408432).

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

132779920 is a wasteful number, since it uses less digits than its factorization.

132779920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 132779920 is about 11523.0169660554. The cubic root of 132779920 is about 510.1651650108.

The spelling of 132779920 in words is "one hundred thirty-two million, seven hundred seventy-nine thousand, nine hundred twenty".