151107768 has 120 divisors (see below), whose sum is σ = 492445800. Its totient is φ = 43164576.

The previous prime is 151107763. The next prime is 151107793. The reversal of 151107768 is 867701151.

It is a happy number.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151107763) 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 29 ways as a sum of consecutive naturals, for example, 29373 + ... + 34131.

It is an arithmetic number, because the mean of its divisors is an integer number (4103715).

Almost surely, 2^151107768 is an apocalyptic number.

151107768 is a gapful number since it is divisible by the number (18) 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 151107768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246222900).

151107768 is an abundant number, since it is smaller than the sum of its proper divisors (341338032).

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

151107768 is a wasteful number, since it uses less digits than its factorization.

151107768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4791 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The square root of 151107768 is about 12292.5899630631. The cubic root of 151107768 is about 532.6340547239.

The spelling of 151107768 in words is "one hundred fifty-one million, one hundred seven thousand, seven hundred sixty-eight".