151429120 has 56 divisors (see below), whose sum is σ = 363506004. Its totient is φ = 60555264.

The previous prime is 151429111. The next prime is 151429121. The reversal of 151429120 is 21924151.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 137170944 + 14258176 = 11712^2 + 3776^2 .

It is not an unprimeable number, because it can be changed into a prime (151429121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39112 + ... + 42808.

Almost surely, 2^151429120 is an apocalyptic number.

151429120 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 151429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181753002).

151429120 is an abundant number, since it is smaller than the sum of its proper divisors (212076884).

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

151429120 is an frugal number, since it uses more digits than its factorization.

151429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3728 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 151429120 is about 12305.6539850591. The cubic root of 151429120 is about 533.0113612208.

The spelling of 151429120 in words is "one hundred fifty-one million, four hundred twenty-nine thousand, one hundred twenty".