1377147000 has 128 divisors (see below), whose sum is σ = 4388567040. Its totient is φ = 359388800.

The previous prime is 1377146987. The next prime is 1377147017. The reversal of 1377147000 is 7417731.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 136117 + ... + 145883.

It is an arithmetic number, because the mean of its divisors is an integer number (34285680).

Almost surely, 2^1377147000 is an apocalyptic number.

1377147000 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 1377147000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194283520).

1377147000 is an abundant number, since it is smaller than the sum of its proper divisors (3011420040).

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

1377147000 is a wasteful number, since it uses less digits than its factorization.

1377147000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9838 (or 9824 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 1377147000 is about 37109.9312853042. The cubic root of 1377147000 is about 1112.5685182729.

The spelling of 1377147000 in words is "one billion, three hundred seventy-seven million, one hundred forty-seven thousand".