151264120 has 64 divisors (see below), whose sum is σ = 396342720. Its totient is φ = 50878464.

The previous prime is 151264117. The next prime is 151264121. The reversal of 151264120 is 21462151.

It is a junction number, because it is equal to n+sod(n) for n = 151264091 and 151264100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151264121) 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 15 ways as a sum of consecutive naturals, for example, 9744 + ... + 19936.

It is an arithmetic number, because the mean of its divisors is an integer number (6192855).

Almost surely, 2^151264120 is an apocalyptic number.

151264120 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 151264120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198171360).

151264120 is an abundant number, since it is smaller than the sum of its proper divisors (245078600).

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

151264120 is a wasteful number, since it uses less digits than its factorization.

151264120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10264 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 151264120 is about 12298.9479224851. The cubic root of 151264120 is about 532.8176978162.

The spelling of 151264120 in words is "one hundred fifty-one million, two hundred sixty-four thousand, one hundred twenty".