151344000 has 192 divisors, whose sum is σ = 544031280. Its totient is φ = 40320000.

The previous prime is 151343999. The next prime is 151344001. The reversal of 151344000 is 443151.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (151343999) and next prime (151344001).

It is a tau number, because it is divible by the number of its divisors (192).

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 (151344001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143475 + ... + 144525.

Almost surely, 2^151344000 is an apocalyptic number.

151344000 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 151344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272015640).

151344000 is an abundant number, since it is smaller than the sum of its proper divisors (392687280).

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

151344000 is a wasteful number, since it uses less digits than its factorization.

151344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 151344000 is about 12302.1949261097. The cubic root of 151344000 is about 532.9114719554.

Adding to 151344000 its reverse (443151), we get a palindrome (151787151).

The spelling of 151344000 in words is "one hundred fifty-one million, three hundred forty-four thousand".