1388154900 has 144 divisors (see below), whose sum is σ = 4500336960. Its totient is φ = 327398400.

The previous prime is 1388154869. The next prime is 1388154913. The reversal of 1388154900 is 94518831.

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 47 ways as a sum of consecutive naturals, for example, 116416 + ... + 127784.

It is an arithmetic number, because the mean of its divisors is an integer number (31252340).

Almost surely, 2^1388154900 is an apocalyptic number.

1388154900 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 1388154900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250168480).

1388154900 is an abundant number, since it is smaller than the sum of its proper divisors (3112182060).

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

1388154900 is a wasteful number, since it uses less digits than its factorization.

1388154900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 1388154900 is about 37257.9508293196. The cubic root of 1388154900 is about 1115.5250062988.

The spelling of 1388154900 in words is "one billion, three hundred eighty-eight million, one hundred fifty-four thousand, nine hundred".