1541202138 has 144 divisors (see below), whose sum is σ = 4161470976. Its totient is φ = 403341120.

The previous prime is 1541202029. The next prime is 1541202217. The reversal of 1541202138 is 8312021451.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1409520 + ... + 1410612.

It is an arithmetic number, because the mean of its divisors is an integer number (28899104).

Almost surely, 2^1541202138 is an apocalyptic number.

1541202138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1541202138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080735488).

1541202138 is an abundant number, since it is smaller than the sum of its proper divisors (2620268838).

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

1541202138 is a wasteful number, since it uses less digits than its factorization.

1541202138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1541202138 is about 39258.1474091685. The cubic root of 1541202138 is about 1155.1007546895.

Adding to 1541202138 its reverse (8312021451), we get a palindrome (9853223589).

The spelling of 1541202138 in words is "one billion, five hundred forty-one million, two hundred two thousand, one hundred thirty-eight".