1541151920 has 240 divisors, whose sum is σ = 4604491008. Its totient is φ = 474324480.

The previous prime is 1541151907. The next prime is 1541151943. The reversal of 1541151920 is 291511451.

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, 4441187 + ... + 4441533.

Almost surely, 2^1541151920 is an apocalyptic number.

1541151920 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 1541151920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2302245504).

1541151920 is an abundant number, since it is smaller than the sum of its proper divisors (3063339088).

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

1541151920 is a wasteful number, since it uses less digits than its factorization.

1541151920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 29.

The square root of 1541151920 is about 39257.5078169769. The cubic root of 1541151920 is about 1155.0882087514.

The spelling of 1541151920 in words is "one billion, five hundred forty-one million, one hundred fifty-one thousand, nine hundred twenty".