151024000 has 64 divisors (see below), whose sum is σ = 375523200. Its totient is φ = 60403200.

The previous prime is 151023997. The next prime is 151024031. The reversal of 151024000 is 420151.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×151024000³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11281 + ... + 20719.

It is an arithmetic number, because the mean of its divisors is an integer number (5867550).

Almost surely, 2^151024000 is an apocalyptic number.

151024000 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 151024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187761600).

151024000 is an abundant number, since it is smaller than the sum of its proper divisors (224499200).

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

151024000 is an frugal number, since it uses more digits than its factorization.

151024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9468 (or 9446 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 151024000 is about 12289.1822347950. The cubic root of 151024000 is about 532.5356129796.

Adding to 151024000 its reverse (420151), we get a palindrome (151444151).

The spelling of 151024000 in words is "one hundred fifty-one million, twenty-four thousand".