1377013536 has 144 divisors (see below), whose sum is σ = 4035435768. Its totient is φ = 445132800.

The previous prime is 1377013523. The next prime is 1377013541. The reversal of 1377013536 is 6353107731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 170145936 + 1206867600 = 13044^2 + 34740^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1377013536.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3270606 + ... + 3271026.

Almost surely, 2^1377013536 is an apocalyptic number.

1377013536 is a gapful number since it is divisible by the number (16) 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 1377013536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2017717884).

1377013536 is an abundant number, since it is smaller than the sum of its proper divisors (2658422232).

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

1377013536 is a wasteful number, since it uses less digits than its factorization.

1377013536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 36.

The square root of 1377013536 is about 37108.1330169008. The cubic root of 1377013536 is about 1112.5325761786.

The spelling of 1377013536 in words is "one billion, three hundred seventy-seven million, thirteen thousand, five hundred thirty-six".