151116000 has 288 divisors, whose sum is σ = 578122272. Its totient is φ = 34406400.

The previous prime is 151115989. The next prime is 151116001. The reversal of 151116000 is 611151.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151116001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 587872 + ... + 588128.

It is an arithmetic number, because the mean of its divisors is an integer number (2007369).

Almost surely, 2^151116000 is an apocalyptic number.

151116000 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 151116000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289061136).

151116000 is an abundant number, since it is smaller than the sum of its proper divisors (427006272).

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

151116000 is a wasteful number, since it uses less digits than its factorization.

151116000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 151116000 is about 12292.9247943685. The cubic root of 151116000 is about 532.6437267701.

Adding to 151116000 its reverse (611151), we get a palindrome (151727151).

The spelling of 151116000 in words is "one hundred fifty-one million, one hundred sixteen thousand".