132777617483880 has 160 divisors (see below), whose sum is σ = 446664070116000. Its totient is φ = 35376918804864.

The previous prime is 132777617483857. The next prime is 132777617483911. The reversal of 132777617483880 is 88384716777231.

It is a happy number.

132777617483880 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 7 + 7 + 61 + 7 + 483 + 8 + 80 = 666.

It is a super-5 number, since 5×132777617483880⁵ (a number of 72 digits) contains 55555 as substring.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 132777617483799 and 132777617483808.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13850430 + ... + 21386669.

It is an arithmetic number, because the mean of its divisors is an integer number (2791650438225).

Almost surely, 2^{132777617483880} is an apocalyptic number.

132777617483880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132777617483880 is an abundant number, since it is smaller than the sum of its proper divisors (313886452632120).

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

132777617483880 is a wasteful number, since it uses less digits than its factorization.

132777617483880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35238285 (or 35238272 counting only the distinct ones).

The product of its (nonzero) digits is 531062784, while the sum is 72.

The spelling of 132777617483880 in words is "one hundred thirty-two trillion, seven hundred seventy-seven billion, six hundred seventeen million, four hundred eighty-three thousand, eight hundred eighty".