151216416 has 96 divisors (see below), whose sum is σ = 475009920. Its totient is φ = 46524672.

The previous prime is 151216409. The next prime is 151216433. The reversal of 151216416 is 614612151.

151216416 is a `hidden beast` number, since 1 + 5 + 12 + 1 + 641 + 6 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 151216416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501 + ... + 17963.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^151216416 is an apocalyptic number.

151216416 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 151216416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237504960).

151216416 is an abundant number, since it is smaller than the sum of its proper divisors (323793504).

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

151216416 is a wasteful number, since it uses less digits than its factorization.

151216416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13495 (or 13481 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 151216416 is about 12297.0084166841. The cubic root of 151216416 is about 532.7616805490.

Adding to 151216416 its reverse (614612151), we get a palindrome (765828567).

The spelling of 151216416 in words is "one hundred fifty-one million, two hundred sixteen thousand, four hundred sixteen".