151289892 has 72 divisors (see below), whose sum is σ = 423024056. Its totient is φ = 45287424.

The previous prime is 151289891. The next prime is 151289899. The reversal of 151289892 is 298982151.

It can be written as a sum of positive squares in 4 ways, for example, as 19131876 + 132158016 = 4374^2 + 11496^2 .

It is not an unprimeable number, because it can be changed into a prime (151289891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12948 + ... + 21684.

Almost surely, 2^151289892 is an apocalyptic number.

151289892 is a gapful number since it is divisible by the number (12) 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 151289892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211512028).

151289892 is an abundant number, since it is smaller than the sum of its proper divisors (271734164).

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

151289892 is a wasteful number, since it uses less digits than its factorization.

151289892 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8792 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 151289892 is about 12299.9956097553. The cubic root of 151289892 is about 532.8479561439.

The spelling of 151289892 in words is "one hundred fifty-one million, two hundred eighty-nine thousand, eight hundred ninety-two".