151188531200 has 288 divisors, whose sum is σ = 447057636480. Its totient is φ = 49579622400.

The previous prime is 151188531157. The next prime is 151188531211. The reversal of 151188531200 is 2135881151.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8234030 + ... + 8252370.

It is an arithmetic number, because the mean of its divisors is an integer number (1552283460).

Almost surely, 2^151188531200 is an apocalyptic number.

151188531200 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 151188531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223528818240).

151188531200 is an abundant number, since it is smaller than the sum of its proper divisors (295869105280).

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

151188531200 is a wasteful number, since it uses less digits than its factorization.

151188531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18403 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 35.

The spelling of 151188531200 in words is "one hundred fifty-one billion, one hundred eighty-eight million, five hundred thirty-one thousand, two hundred".