151066944 has 280 divisors, whose sum is σ = 536984448. Its totient is φ = 41057280.

The previous prime is 151066931. The next prime is 151066961. The reversal of 151066944 is 449660151.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 151066899 and 151066908.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 834534 + ... + 834714.

Almost surely, 2^151066944 is an apocalyptic number.

151066944 is a gapful number since it is divisible by the number (14) 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 151066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268492224).

151066944 is an abundant number, since it is smaller than the sum of its proper divisors (385917504).

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

151066944 is a wasteful number, since it uses less digits than its factorization.

151066944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 151066944 is about 12290.9293383373. The cubic root of 151066944 is about 532.5860840793.

The spelling of 151066944 in words is "one hundred fifty-one million, sixty-six thousand, nine hundred forty-four".