1387512900 has 54 divisors (see below), whose sum is σ = 4349084922. Its totient is φ = 370003200.

The previous prime is 1387512869. The next prime is 1387512901. The reversal of 1387512900 is 92157831.

1387512900 is a `hidden beast` number, since 138 + 7 + 512 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 457018884 + 930494016 = 21378^2 + 30504^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1387512901) 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 17 ways as a sum of consecutive naturals, for example, 769941 + ... + 771740.

Almost surely, 2^1387512900 is an apocalyptic number.

1387512900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1387512900 is an abundant number, since it is smaller than the sum of its proper divisors (2961572022).

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

1387512900 is a wasteful number, since it uses less digits than its factorization.

1387512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1541701 (or 1541691 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1387512900 is about 37249.3342222381. The cubic root of 1387512900 is about 1115.3530088059.

The spelling of 1387512900 in words is "one billion, three hundred eighty-seven million, five hundred twelve thousand, nine hundred".