151218000 has 240 divisors, whose sum is σ = 547203072. Its totient is φ = 38880000.

The previous prime is 151217987. The next prime is 151218007. The reversal of 151218000 is 812151.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151218007) 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, 557865 + ... + 558135.

Almost surely, 2^151218000 is an apocalyptic number.

151218000 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 151218000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273601536).

151218000 is an abundant number, since it is smaller than the sum of its proper divisors (395985072).

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

151218000 is a wasteful number, since it uses less digits than its factorization.

151218000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 151218000 is about 12297.0728224240. The cubic root of 151218000 is about 532.7635407782.

The spelling of 151218000 in words is "one hundred fifty-one million, two hundred eighteen thousand".