1813137900 has 144 divisors (see below), whose sum is σ = 6012948480. Its totient is φ = 413222400.

The previous prime is 1813137883. The next prime is 1813137901. The reversal of 1813137900 is 97313181.

It is not an unprimeable number, because it can be changed into a prime (1813137901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 857845 + ... + 859955.

Almost surely, 2^1813137900 is an apocalyptic number.

1813137900 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 1813137900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006474240).

1813137900 is an abundant number, since it is smaller than the sum of its proper divisors (4199810580).

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

1813137900 is a wasteful number, since it uses less digits than its factorization.

1813137900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 1813137900 is about 42580.9570113214. The cubic root of 1813137900 is about 1219.3927597045.

The spelling of 1813137900 in words is "one billion, eight hundred thirteen million, one hundred thirty-seven thousand, nine hundred".