151528416 has 96 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 44588544.

The previous prime is 151528411. The next prime is 151528441. The reversal of 151528416 is 614825151.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151528411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26065 + ... + 31343.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2^151528416 is an apocalyptic number.

151528416 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 151528416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

151528416 is an abundant number, since it is smaller than the sum of its proper divisors (295539744).

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

151528416 is a wasteful number, since it uses less digits than its factorization.

151528416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5328 (or 5320 counting only the distinct ones).

The product of its digits is 9600, while the sum is 33.

The square root of 151528416 is about 12309.6878920629. The cubic root of 151528416 is about 533.1278388883.

The spelling of 151528416 in words is "one hundred fifty-one million, five hundred twenty-eight thousand, four hundred sixteen".