151958016 has 180 divisors, whose sum is σ = 510920982. Its totient is φ = 43352064.

The previous prime is 151957979. The next prime is 151958039. The reversal of 151958016 is 610859151.

151958016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 138297600 + 13660416 = 11760^2 + 3696^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 225456 + ... + 226128.

Almost surely, 2^151958016 is an apocalyptic number.

151958016 is a gapful number since it is divisible by the number (16) 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 151958016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255460491).

151958016 is an abundant number, since it is smaller than the sum of its proper divisors (358962966).

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

151958016 is an equidigital number, since it uses as much as digits as its factorization.

151958016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 36.

The square root of 151958016 is about 12327.1252123113. The cubic root of 151958016 is about 533.6311891781.

The spelling of 151958016 in words is "one hundred fifty-one million, nine hundred fifty-eight thousand, sixteen".