1377133110 has 128 divisors (see below), whose sum is σ = 4093286400. Its totient is φ = 327421440.

The previous prime is 1377133049. The next prime is 1377133117. The reversal of 1377133110 is 113317731.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377133117) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 79315 + ... + 95105.

It is an arithmetic number, because the mean of its divisors is an integer number (31978800).

Almost surely, 2^1377133110 is an apocalyptic number.

1377133110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046643200).

1377133110 is an abundant number, since it is smaller than the sum of its proper divisors (2716153290).

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

1377133110 is a wasteful number, since it uses less digits than its factorization.

1377133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15843 (or 15837 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 1377133110 is about 37109.7441381640. The cubic root of 1377133110 is about 1112.5647777792.

The spelling of 1377133110 in words is "one billion, three hundred seventy-seven million, one hundred thirty-three thousand, one hundred ten".