151457768 has 64 divisors (see below), whose sum is σ = 359147520. Its totient is φ = 58161600.

The previous prime is 151457753. The next prime is 151457833. The reversal of 151457768 is 867754151.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42005 + ... + 45467.

It is an arithmetic number, because the mean of its divisors is an integer number (5611680).

Almost surely, 2^151457768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151457768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179573760).

151457768 is an abundant number, since it is smaller than the sum of its proper divisors (207689752).

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

151457768 is a wasteful number, since it uses less digits than its factorization.

151457768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3558 (or 3554 counting only the distinct ones).

The product of its digits is 235200, while the sum is 44.

The square root of 151457768 is about 12306.8179477881. The cubic root of 151457768 is about 533.0449715477.

The spelling of 151457768 in words is "one hundred fifty-one million, four hundred fifty-seven thousand, seven hundred sixty-eight".