151000960 has 128 divisors (see below), whose sum is σ = 399880800. Its totient is φ = 54067200.

The previous prime is 151000951. The next prime is 151000963. The reversal of 151000960 is 69000151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151000963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626440 + ... + 626680.

Almost surely, 2^151000960 is an apocalyptic number.

151000960 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 151000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199940400).

151000960 is an abundant number, since it is smaller than the sum of its proper divisors (248879840).

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

151000960 is a wasteful number, since it uses less digits than its factorization.

151000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 151000960 is about 12288.2447892284. The cubic root of 151000960 is about 532.5085306516.

The spelling of 151000960 in words is "one hundred fifty-one million, nine hundred sixty", and thus it is an aban number.