151515144 has 128 divisors (see below), whose sum is σ = 470131200. Its totient is φ = 44815680.

The previous prime is 151515097. The next prime is 151515149. The reversal of 151515144 is 441515151.

151515144 is a `hidden beast` number, since 1 + 5 + 1 + 515 + 144 = 666.

It is a super-2 number, since 2×151515144² = 45913677722681472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151515149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101427 + ... + 102909.

It is an arithmetic number, because the mean of its divisors is an integer number (3672900).

Almost surely, 2^151515144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151515144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235065600).

151515144 is an abundant number, since it is smaller than the sum of its proper divisors (318616056).

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

151515144 is a wasteful number, since it uses less digits than its factorization.

151515144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1542 counting only the distinct ones).

The product of its digits is 2000, while the sum is 27.

The square root of 151515144 is about 12309.1487926664. The cubic root of 151515144 is about 533.1122733166.

The spelling of 151515144 in words is "one hundred fifty-one million, five hundred fifteen thousand, one hundred forty-four".