1356140100 has 144 divisors (see below), whose sum is σ = 4500156416. Its totient is φ = 308880000.

The previous prime is 1356140077. The next prime is 1356140111. The reversal of 1356140100 is 10416531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 694125 + ... + 696075.

Almost surely, 2^1356140100 is an apocalyptic number.

1356140100 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 1356140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2250078208).

1356140100 is an abundant number, since it is smaller than the sum of its proper divisors (3144016316).

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

1356140100 is a wasteful number, since it uses less digits than its factorization.

1356140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1356140100 is about 36825.8075267875. The cubic root of 1356140100 is about 1106.8824950820.

Adding to 1356140100 its reverse (10416531), we get a palindrome (1366556631).

The spelling of 1356140100 in words is "one billion, three hundred fifty-six million, one hundred forty thousand, one hundred".