1541145000 has 160 divisors (see below), whose sum is σ = 4858444800. Its totient is φ = 407232000.

The previous prime is 1541144893. The next prime is 1541145029. The reversal of 1541145000 is 5411451.

It is a super-2 number, since 2×1541145000² = 4750255822050000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1904596 + ... + 1905404.

It is an arithmetic number, because the mean of its divisors is an integer number (30365280).

Almost surely, 2^1541145000 is an apocalyptic number.

1541145000 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 1541145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429222400).

1541145000 is an abundant number, since it is smaller than the sum of its proper divisors (3317299800).

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

1541145000 is a wasteful number, since it uses less digits than its factorization.

1541145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 965 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1541145000 is about 39257.4196808705. The cubic root of 1541145000 is about 1155.0864799099.

Adding to 1541145000 its reverse (5411451), we get a palindrome (1546556451).

The spelling of 1541145000 in words is "one billion, five hundred forty-one million, one hundred forty-five thousand".