151413517200 has 960 divisors, whose sum is σ = 573906124800. Its totient is φ = 33759897600.

The previous prime is 151413517091. The next prime is 151413517201. The reversal of 151413517200 is 2715314151.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (151413517201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1415079547 + ... + 1415079653.

It is an arithmetic number, because the mean of its divisors is an integer number (597818880).

Almost surely, 2^151413517200 is an apocalyptic number.

151413517200 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 151413517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286953062400).

151413517200 is an abundant number, since it is smaller than the sum of its proper divisors (422492607600).

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

151413517200 is a wasteful number, since it uses less digits than its factorization.

151413517200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 30.

The spelling of 151413517200 in words is "one hundred fifty-one billion, four hundred thirteen million, five hundred seventeen thousand, two hundred".