151541000 has 64 divisors (see below), whose sum is σ = 381916080. Its totient is φ = 55948800.

The previous prime is 151540981. The next prime is 151541003. The reversal of 151541000 is 145151.

It can be written as a sum of positive squares in 8 ways, for example, as 1674436 + 149866564 = 1294^2 + 12242^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 151541000.

It is not an unprimeable number, because it can be changed into a prime (151541003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7172 + ... + 18828.

Almost surely, 2^151541000 is an apocalyptic number.

151541000 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 151541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190958040).

151541000 is an abundant number, since it is smaller than the sum of its proper divisors (230375080).

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

151541000 is a wasteful number, since it uses less digits than its factorization.

151541000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11691 (or 11677 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 17.

The square root of 151541000 is about 12310.1990235739. The cubic root of 151541000 is about 533.1425967253.

Adding to 151541000 its reverse (145151), we get a palindrome (151686151).

The spelling of 151541000 in words is "one hundred fifty-one million, five hundred forty-one thousand".