151300424000 has 448 divisors, whose sum is σ = 427768024320. Its totient is φ = 52505600000.

The previous prime is 151300423987. The next prime is 151300424003. The reversal of 151300424000 is 424003151.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151300424003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257751707 + ... + 257752293.

It is an arithmetic number, because the mean of its divisors is an integer number (954839340).

Almost surely, 2^151300424000 is an apocalyptic number.

151300424000 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 151300424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213884012160).

151300424000 is an abundant number, since it is smaller than the sum of its proper divisors (276467600320).

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

151300424000 is a wasteful number, since it uses less digits than its factorization.

151300424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 151300424000 its reverse (424003151), we get a palindrome (151724427151).

The spelling of 151300424000 in words is "one hundred fifty-one billion, three hundred million, four hundred twenty-four thousand".