1825137090 has 128 divisors (see below), whose sum is σ = 5741936640. Its totient is φ = 403704000.

The previous prime is 1825137077. The next prime is 1825137091. The reversal of 1825137090 is 907315281.

It is a super-2 number, since 2×1825137090² = 6662250794587336200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1825137091) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43015 + ... + 74165.

It is an arithmetic number, because the mean of its divisors is an integer number (44858880).

Almost surely, 2^1825137090 is an apocalyptic number.

1825137090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1825137090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2870968320).

1825137090 is an abundant number, since it is smaller than the sum of its proper divisors (3916799550).

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

1825137090 is a wasteful number, since it uses less digits than its factorization.

1825137090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31205 (or 31199 counting only the distinct ones).

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

The square root of 1825137090 is about 42721.6232135437. The cubic root of 1825137090 is about 1222.0767928004.

The spelling of 1825137090 in words is "one billion, eight hundred twenty-five million, one hundred thirty-seven thousand, ninety".