151805016 has 192 divisors, whose sum is σ = 482227200. Its totient is φ = 44323200.

The previous prime is 151805011. The next prime is 151805021. The reversal of 151805016 is 610508151.

151805016 is a `hidden beast` number, since 151 + 8 + 0 + 501 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (151805011) and next prime (151805021).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151805011) 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 47 ways as a sum of consecutive naturals, for example, 662790 + ... + 663018.

It is an arithmetic number, because the mean of its divisors is an integer number (2511600).

Almost surely, 2^151805016 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 151805016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241113600).

151805016 is an abundant number, since it is smaller than the sum of its proper divisors (330422184).

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

151805016 is a wasteful number, since it uses less digits than its factorization.

151805016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 151805016 is about 12320.9178229546. The cubic root of 151805016 is about 533.4520322609.

The spelling of 151805016 in words is "one hundred fifty-one million, eight hundred five thousand, sixteen".