1377131694120 has 1024 divisors, whose sum is σ = 6009228288000. Its totient is φ = 272393404416.

The previous prime is 1377131694097. The next prime is 1377131694131. The reversal of 1377131694120 is 214961317731.

1377131694120 is a `hidden beast` number, since 1 + 3 + 7 + 71 + 3 + 169 + 412 + 0 = 666.

It is a super-3 number, since 3×1377131694120³ (a number of 37 digits) contains 333 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 181126239 + ... + 181133841.

It is an arithmetic number, because the mean of its divisors is an integer number (5868387000).

Almost surely, 2^{1377131694120} is an apocalyptic number.

1377131694120 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 1377131694120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3004614144000).

1377131694120 is an abundant number, since it is smaller than the sum of its proper divisors (4632096593880).

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

1377131694120 is a wasteful number, since it uses less digits than its factorization.

1377131694120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7759 (or 7749 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 1377131694120 in words is "one trillion, three hundred seventy-seven billion, one hundred thirty-one million, six hundred ninety-four thousand, one hundred twenty".