151037568 has 256 divisors, whose sum is σ = 506736000. Its totient is φ = 43868160.

The previous prime is 151037567. The next prime is 151037587. The reversal of 151037568 is 865730151.

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

It is not an unprimeable number, because it can be changed into a prime (151037567) 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 31 ways as a sum of consecutive naturals, for example, 1102396 + ... + 1102532.

Almost surely, 2^151037568 is an apocalyptic number.

151037568 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 151037568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253368000).

151037568 is an abundant number, since it is smaller than the sum of its proper divisors (355698432).

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

151037568 is a wasteful number, since it uses less digits than its factorization.

151037568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 151037568 is about 12289.7342526191. The cubic root of 151037568 is about 532.5515601731.

The spelling of 151037568 in words is "one hundred fifty-one million, thirty-seven thousand, five hundred sixty-eight".