1359874100 has 72 divisors (see below), whose sum is σ = 3209695608. Its totient is φ = 497088000.

The previous prime is 1359874079. The next prime is 1359874121. The reversal of 1359874100 is 14789531.

It is an interprime number because it is at equal distance from previous prime (1359874079) and next prime (1359874121).

It can be written as a sum of positive squares in 12 ways, for example, as 244046884 + 1115827216 = 15622^2 + 33404^2 .

It is a congruent number.

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, 126122 + ... + 136478.

Almost surely, 2^1359874100 is an apocalyptic number.

1359874100 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 1359874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604847804).

1359874100 is an abundant number, since it is smaller than the sum of its proper divisors (1849821508).

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

1359874100 is a wasteful number, since it uses less digits than its factorization.

1359874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10485 (or 10478 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 1359874100 is about 36876.4708181247. The cubic root of 1359874100 is about 1107.8974619148.

The spelling of 1359874100 in words is "one billion, three hundred fifty-nine million, eight hundred seventy-four thousand, one hundred".