151014864 has 240 divisors, whose sum is σ = 534340800. Its totient is φ = 36126720.

The previous prime is 151014847. The next prime is 151014883. The reversal of 151014864 is 468410151.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336112 + ... + 336560.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^151014864 is an apocalyptic number.

151014864 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 151014864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267170400).

151014864 is an abundant number, since it is smaller than the sum of its proper divisors (383325936).

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

151014864 is a wasteful number, since it uses less digits than its factorization.

151014864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 151014864 is about 12288.8105201439. The cubic root of 151014864 is about 532.5248744139.

The spelling of 151014864 in words is "one hundred fifty-one million, fourteen thousand, eight hundred sixty-four".