151216000 has 128 divisors (see below), whose sum is σ = 405437760. Its totient is φ = 55756800.

The previous prime is 151215991. The next prime is 151216019. The reversal of 151216000 is 612151.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 207637 + ... + 208363.

Almost surely, 2^151216000 is an apocalyptic number.

151216000 is a gapful number since it is divisible by the number (10) 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 151216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202718880).

151216000 is an abundant number, since it is smaller than the sum of its proper divisors (254221760).

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

151216000 is an equidigital number, since it uses as much as digits as its factorization.

151216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 151216000 is about 12296.9915019894. The cubic root of 151216000 is about 532.7611920018.

Adding to 151216000 its reverse (612151), we get a palindrome (151828151).

The spelling of 151216000 in words is "one hundred fifty-one million, two hundred sixteen thousand".