151315120 has 80 divisors (see below), whose sum is σ = 387618048. Its totient is φ = 54475520.

The previous prime is 151315097. The next prime is 151315121. The reversal of 151315120 is 21513151.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×151315120² = 45792531081228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151315121) 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, 93357 + ... + 94963.

Almost surely, 2^151315120 is an apocalyptic number.

151315120 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 151315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193809024).

151315120 is an abundant number, since it is smaller than the sum of its proper divisors (236302928).

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

151315120 is a wasteful number, since it uses less digits than its factorization.

151315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1738 (or 1732 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 151315120 is about 12301.0210958278. The cubic root of 151315120 is about 532.8775724453.

Adding to 151315120 its reverse (21513151), we get a palindrome (172828271).

The spelling of 151315120 in words is "one hundred fifty-one million, three hundred fifteen thousand, one hundred twenty".