151479120 has 160 divisors (see below), whose sum is σ = 516966912. Its totient is φ = 36458496.

The previous prime is 151479089. The next prime is 151479121. The reversal of 151479120 is 21974151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151479121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146124 + ... + 147156.

Almost surely, 2^151479120 is an apocalyptic number.

151479120 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 151479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258483456).

151479120 is an abundant number, since it is smaller than the sum of its proper divisors (365487792).

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

151479120 is a wasteful number, since it uses less digits than its factorization.

151479120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 151479120 is about 12307.6854038442. The cubic root of 151479120 is about 533.0700193252.

The spelling of 151479120 in words is "one hundred fifty-one million, four hundred seventy-nine thousand, one hundred twenty".